Finding the Third Proportional to 3,577.88 and 7,882.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,577.88 : 7,882.50 = 7,882.50 : x
2. Step 2: Convert to fraction form
   3,577.88/7,882.50 = 7,882.50/x
3. Step 3: Cross multiply
   3,577.88x = 7,882.50 × 7,882.50
4. Step 4: Simplify right side
   3,577.88x = 62,133,806.25
5. Step 5: Solve for x
   x = 62,133,806.25/3,577.88
6. Step 6: Final answer
   x = 17,366.12