Finding the Third Proportional to 31,792.50 and 47,675.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,792.50 : 47,675.25 = 47,675.25 : x
2. Step 2: Convert to fraction form
   31,792.50/47,675.25 = 47,675.25/x
3. Step 3: Cross multiply
   31,792.50x = 47,675.25 × 47,675.25
4. Step 4: Simplify right side
   31,792.50x = 2,272,929,462.56
5. Step 5: Solve for x
   x = 2,272,929,462.56/31,792.50
6. Step 6: Final answer
   x = 71,492.63