Finding the Third Proportional to 31,416 and 47,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,416 : 47,191.50 = 47,191.50 : x
2. Step 2: Convert to fraction form
   31,416/47,191.50 = 47,191.50/x
3. Step 3: Cross multiply
   31,416x = 47,191.50 × 47,191.50
4. Step 4: Simplify right side
   31,416x = 2,227,037,672.25
5. Step 5: Solve for x
   x = 2,227,037,672.25/31,416
6. Step 6: Final answer
   x = 70,888.65