Finding the Third Proportional to 3,697.31 and 8,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,697.31 : 8,113.50 = 8,113.50 : x
2. Step 2: Convert to fraction form
   3,697.31/8,113.50 = 8,113.50/x
3. Step 3: Cross multiply
   3,697.31x = 8,113.50 × 8,113.50
4. Step 4: Simplify right side
   3,697.31x = 65,828,882.25
5. Step 5: Solve for x
   x = 65,828,882.25/3,697.31
6. Step 6: Final answer
   x = 17,804.52