Finding the Third Proportional to 31,031,106 and 65,278,074

Step by Step Solution

1. Step 1: Write the proportion equation
   31,031,106 : 65,278,074 = 65,278,074 : x
2. Step 2: Convert to fraction form
   31,031,106/65,278,074 = 65,278,074/x
3. Step 3: Cross multiply
   31,031,106x = 65,278,074 × 65,278,074
4. Step 4: Simplify right side
   31,031,106x = 4,261,226,945,149,476
5. Step 5: Solve for x
   x = 4,261,226,945,149,476/31,031,106
6. Step 6: Final answer
   x = 137,321,143.02