Finding the Third Proportional to 3,715.88 and 5,882.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,715.88 : 5,882.63 = 5,882.63 : x
2. Step 2: Convert to fraction form
   3,715.88/5,882.63 = 5,882.63/x
3. Step 3: Cross multiply
   3,715.88x = 5,882.63 × 5,882.63
4. Step 4: Simplify right side
   3,715.88x = 34,605,276.89
5. Step 5: Solve for x
   x = 34,605,276.89/3,715.88
6. Step 6: Final answer
   x = 9,312.82