Finding the Third Proportional to 7,575.75 and 10,402.88

Step by Step Solution

1. Step 1: Write the proportion equation
   7,575.75 : 10,402.88 = 10,402.88 : x
2. Step 2: Convert to fraction form
   7,575.75/10,402.88 = 10,402.88/x
3. Step 3: Cross multiply
   7,575.75x = 10,402.88 × 10,402.88
4. Step 4: Simplify right side
   7,575.75x = 108,219,808.27
5. Step 5: Solve for x
   x = 108,219,808.27/7,575.75
6. Step 6: Final answer
   x = 14,285.03