Finding the Third Proportional to 47,634 and 71,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,634 : 71,215.50 = 71,215.50 : x
2. Step 2: Convert to fraction form
   47,634/71,215.50 = 71,215.50/x
3. Step 3: Cross multiply
   47,634x = 71,215.50 × 71,215.50
4. Step 4: Simplify right side
   47,634x = 5,071,647,440.25
5. Step 5: Solve for x
   x = 5,071,647,440.25/47,634
6. Step 6: Final answer
   x = 106,471.16