Finding the Third Proportional to 7,569.07 and 10,422.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,569.07 : 10,422.42 = 10,422.42 : x
2. Step 2: Convert to fraction form
   7,569.07/10,422.42 = 10,422.42/x
3. Step 3: Cross multiply
   7,569.07x = 10,422.42 × 10,422.42
4. Step 4: Simplify right side
   7,569.07x = 108,626,877.74
5. Step 5: Solve for x
   x = 108,626,877.74/7,569.07
6. Step 6: Final answer
   x = 14,351.42