Finding the Third Proportional to 42,400 and 95,616

Step by Step Solution

1. Step 1: Write the proportion equation
   42,400 : 95,616 = 95,616 : x
2. Step 2: Convert to fraction form
   42,400/95,616 = 95,616/x
3. Step 3: Cross multiply
   42,400x = 95,616 × 95,616
4. Step 4: Simplify right side
   42,400x = 9,142,419,456
5. Step 5: Solve for x
   x = 9,142,419,456/42,400
6. Step 6: Final answer
   x = 215,623.10