Finding the Third Proportional to 31,516 and 48,792

Step by Step Solution

1. Step 1: Write the proportion equation
   31,516 : 48,792 = 48,792 : x
2. Step 2: Convert to fraction form
   31,516/48,792 = 48,792/x
3. Step 3: Cross multiply
   31,516x = 48,792 × 48,792
4. Step 4: Simplify right side
   31,516x = 2,380,659,264
5. Step 5: Solve for x
   x = 2,380,659,264/31,516
6. Step 6: Final answer
   x = 75,538.12