Finding the Third Proportional to 2,598.75 and 5,715.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,598.75 : 5,715.98 = 5,715.98 : x
2. Step 2: Convert to fraction form
   2,598.75/5,715.98 = 5,715.98/x
3. Step 3: Cross multiply
   2,598.75x = 5,715.98 × 5,715.98
4. Step 4: Simplify right side
   2,598.75x = 32,672,477.38
5. Step 5: Solve for x
   x = 32,672,477.38/2,598.75
6. Step 6: Final answer
   x = 12,572.38