Finding the Third Proportional to 35,616 and 52,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,616 : 52,874.50 = 52,874.50 : x
2. Step 2: Convert to fraction form
   35,616/52,874.50 = 52,874.50/x
3. Step 3: Cross multiply
   35,616x = 52,874.50 × 52,874.50
4. Step 4: Simplify right side
   35,616x = 2,795,712,750.25
5. Step 5: Solve for x
   x = 2,795,712,750.25/35,616
6. Step 6: Final answer
   x = 78,495.98