Finding the Third Proportional to 5,755.43 and 7,812.07

Step by Step Solution

1. Step 1: Write the proportion equation
   5,755.43 : 7,812.07 = 7,812.07 : x
2. Step 2: Convert to fraction form
   5,755.43/7,812.07 = 7,812.07/x
3. Step 3: Cross multiply
   5,755.43x = 7,812.07 × 7,812.07
4. Step 4: Simplify right side
   5,755.43x = 61,028,442.57
5. Step 5: Solve for x
   x = 61,028,442.57/5,755.43
6. Step 6: Final answer
   x = 10,603.63