Finding the Third Proportional to 17,569.50 and 38,078

Step by Step Solution

1. Step 1: Write the proportion equation
   17,569.50 : 38,078 = 38,078 : x
2. Step 2: Convert to fraction form
   17,569.50/38,078 = 38,078/x
3. Step 3: Cross multiply
   17,569.50x = 38,078 × 38,078
4. Step 4: Simplify right side
   17,569.50x = 1,449,934,084
5. Step 5: Solve for x
   x = 1,449,934,084/17,569.50
6. Step 6: Final answer
   x = 82,525.63