Finding the Third Proportional to 3,697.31 and 7,485.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,697.31 : 7,485.75 = 7,485.75 : x
2. Step 2: Convert to fraction form
   3,697.31/7,485.75 = 7,485.75/x
3. Step 3: Cross multiply
   3,697.31x = 7,485.75 × 7,485.75
4. Step 4: Simplify right side
   3,697.31x = 56,036,453.06
5. Step 5: Solve for x
   x = 56,036,453.06/3,697.31
6. Step 6: Final answer
   x = 15,156.00