Finding the Third Proportional to 7,882.31 and 17,244.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,882.31 : 17,244.56 = 17,244.56 : x
2. Step 2: Convert to fraction form
   7,882.31/17,244.56 = 17,244.56/x
3. Step 3: Cross multiply
   7,882.31x = 17,244.56 × 17,244.56
4. Step 4: Simplify right side
   7,882.31x = 297,374,935.82
5. Step 5: Solve for x
   x = 297,374,935.82/7,882.31
6. Step 6: Final answer
   x = 37,726.86