Finding the Third Proportional to 31,400 and 47,100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,400 : 47,100.50 = 47,100.50 : x
2. Step 2: Convert to fraction form
   31,400/47,100.50 = 47,100.50/x
3. Step 3: Cross multiply
   31,400x = 47,100.50 × 47,100.50
4. Step 4: Simplify right side
   31,400x = 2,218,457,100.25
5. Step 5: Solve for x
   x = 2,218,457,100.25/31,400
6. Step 6: Final answer
   x = 70,651.50