Finding the Third Proportional to 3,892.50 and 5,983.13

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.50 : 5,983.13 = 5,983.13 : x
2. Step 2: Convert to fraction form
   3,892.50/5,983.13 = 5,983.13/x
3. Step 3: Cross multiply
   3,892.50x = 5,983.13 × 5,983.13
4. Step 4: Simplify right side
   3,892.50x = 35,797,784.77
5. Step 5: Solve for x
   x = 35,797,784.77/3,892.50
6. Step 6: Final answer
   x = 9,196.60