Finding the Third Proportional to 7,762.50 and 17,028

Step by Step Solution

1. Step 1: Write the proportion equation
   7,762.50 : 17,028 = 17,028 : x
2. Step 2: Convert to fraction form
   7,762.50/17,028 = 17,028/x
3. Step 3: Cross multiply
   7,762.50x = 17,028 × 17,028
4. Step 4: Simplify right side
   7,762.50x = 289,952,784
5. Step 5: Solve for x
   x = 289,952,784/7,762.50
6. Step 6: Final answer
   x = 37,353.02