Finding the Third Proportional to 37,616 and 81,792

Step by Step Solution

1. Step 1: Write the proportion equation
   37,616 : 81,792 = 81,792 : x
2. Step 2: Convert to fraction form
   37,616/81,792 = 81,792/x
3. Step 3: Cross multiply
   37,616x = 81,792 × 81,792
4. Step 4: Simplify right side
   37,616x = 6,689,931,264
5. Step 5: Solve for x
   x = 6,689,931,264/37,616
6. Step 6: Final answer
   x = 177,848.02