Finding the Third Proportional to 7,824.50 and 16,762.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,824.50 : 16,762.25 = 16,762.25 : x
2. Step 2: Convert to fraction form
   7,824.50/16,762.25 = 16,762.25/x
3. Step 3: Cross multiply
   7,824.50x = 16,762.25 × 16,762.25
4. Step 4: Simplify right side
   7,824.50x = 280,973,025.06
5. Step 5: Solve for x
   x = 280,973,025.06/7,824.50
6. Step 6: Final answer
   x = 35,909.39