Finding the Third Proportional to 7,978.88 and 17,142.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,978.88 : 17,142.38 = 17,142.38 : x
2. Step 2: Convert to fraction form
   7,978.88/17,142.38 = 17,142.38/x
3. Step 3: Cross multiply
   7,978.88x = 17,142.38 × 17,142.38
4. Step 4: Simplify right side
   7,978.88x = 293,861,020.64
5. Step 5: Solve for x
   x = 293,861,020.64/7,978.88
6. Step 6: Final answer
   x = 36,829.88