Finding the Third Proportional to 7,569.07 and 16,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,569.07 : 16,402.50 = 16,402.50 : x
2. Step 2: Convert to fraction form
   7,569.07/16,402.50 = 16,402.50/x
3. Step 3: Cross multiply
   7,569.07x = 16,402.50 × 16,402.50
4. Step 4: Simplify right side
   7,569.07x = 269,042,006.25
5. Step 5: Solve for x
   x = 269,042,006.25/7,569.07
6. Step 6: Final answer
   x = 35,544.92