Finding the Third Proportional to 7,023.38 and 10,762.88

Step by Step Solution

1. Step 1: Write the proportion equation
   7,023.38 : 10,762.88 = 10,762.88 : x
2. Step 2: Convert to fraction form
   7,023.38/10,762.88 = 10,762.88/x
3. Step 3: Cross multiply
   7,023.38x = 10,762.88 × 10,762.88
4. Step 4: Simplify right side
   7,023.38x = 115,839,478.27
5. Step 5: Solve for x
   x = 115,839,478.27/7,023.38
6. Step 6: Final answer
   x = 16,493.42