Finding the Third Proportional to 31,364 and 45,894

Step by Step Solution

1. Step 1: Write the proportion equation
   31,364 : 45,894 = 45,894 : x
2. Step 2: Convert to fraction form
   31,364/45,894 = 45,894/x
3. Step 3: Cross multiply
   31,364x = 45,894 × 45,894
4. Step 4: Simplify right side
   31,364x = 2,106,259,236
5. Step 5: Solve for x
   x = 2,106,259,236/31,364
6. Step 6: Final answer
   x = 67,155.31