Finding the Third Proportional to 16,120 and 34,197.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,120 : 34,197.50 = 34,197.50 : x
2. Step 2: Convert to fraction form
   16,120/34,197.50 = 34,197.50/x
3. Step 3: Cross multiply
   16,120x = 34,197.50 × 34,197.50
4. Step 4: Simplify right side
   16,120x = 1,169,469,006.25
5. Step 5: Solve for x
   x = 1,169,469,006.25/16,120
6. Step 6: Final answer
   x = 72,547.71