Finding the Third Proportional to 14,662.50 and 34,578

Step by Step Solution

1. Step 1: Write the proportion equation
   14,662.50 : 34,578 = 34,578 : x
2. Step 2: Convert to fraction form
   14,662.50/34,578 = 34,578/x
3. Step 3: Cross multiply
   14,662.50x = 34,578 × 34,578
4. Step 4: Simplify right side
   14,662.50x = 1,195,638,084
5. Step 5: Solve for x
   x = 1,195,638,084/14,662.50
6. Step 6: Final answer
   x = 81,543.94