Finding the Third Proportional to 4,113 and 5,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,113 : 5,593.50 = 5,593.50 : x
2. Step 2: Convert to fraction form
   4,113/5,593.50 = 5,593.50/x
3. Step 3: Cross multiply
   4,113x = 5,593.50 × 5,593.50
4. Step 4: Simplify right side
   4,113x = 31,287,242.25
5. Step 5: Solve for x
   x = 31,287,242.25/4,113
6. Step 6: Final answer
   x = 7,606.92