Finding the Third Proportional to 7,012 and 16,385.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,012 : 16,385.50 = 16,385.50 : x
2. Step 2: Convert to fraction form
   7,012/16,385.50 = 16,385.50/x
3. Step 3: Cross multiply
   7,012x = 16,385.50 × 16,385.50
4. Step 4: Simplify right side
   7,012x = 268,484,610.25
5. Step 5: Solve for x
   x = 268,484,610.25/7,012
6. Step 6: Final answer
   x = 38,289.31