Finding the Third Proportional to 31,414 and 47,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,414 : 47,188.50 = 47,188.50 : x
2. Step 2: Convert to fraction form
   31,414/47,188.50 = 47,188.50/x
3. Step 3: Cross multiply
   31,414x = 47,188.50 × 47,188.50
4. Step 4: Simplify right side
   31,414x = 2,226,754,532.25
5. Step 5: Solve for x
   x = 2,226,754,532.25/31,414
6. Step 6: Final answer
   x = 70,884.15