Finding the Third Proportional to 31,055,138 and 65,322,894

Step by Step Solution

1. Step 1: Write the proportion equation
   31,055,138 : 65,322,894 = 65,322,894 : x
2. Step 2: Convert to fraction form
   31,055,138/65,322,894 = 65,322,894/x
3. Step 3: Cross multiply
   31,055,138x = 65,322,894 × 65,322,894
4. Step 4: Simplify right side
   31,055,138x = 4,267,080,480,535,236
5. Step 5: Solve for x
   x = 4,267,080,480,535,236/31,055,138
6. Step 6: Final answer
   x = 137,403,365.61