Finding the Third Proportional to 35,616 and 54,264

Step by Step Solution

1. Step 1: Write the proportion equation
   35,616 : 54,264 = 54,264 : x
2. Step 2: Convert to fraction form
   35,616/54,264 = 54,264/x
3. Step 3: Cross multiply
   35,616x = 54,264 × 54,264
4. Step 4: Simplify right side
   35,616x = 2,944,581,696
5. Step 5: Solve for x
   x = 2,944,581,696/35,616
6. Step 6: Final answer
   x = 82,675.81