Finding the Third Proportional to 32,294 and 69,616

Step by Step Solution

1. Step 1: Write the proportion equation
   32,294 : 69,616 = 69,616 : x
2. Step 2: Convert to fraction form
   32,294/69,616 = 69,616/x
3. Step 3: Cross multiply
   32,294x = 69,616 × 69,616
4. Step 4: Simplify right side
   32,294x = 4,846,387,456
5. Step 5: Solve for x
   x = 4,846,387,456/32,294
6. Step 6: Final answer
   x = 150,070.83