Finding the Third Proportional to 16,140 and 35,542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,140 : 35,542.50 = 35,542.50 : x
2. Step 2: Convert to fraction form
   16,140/35,542.50 = 35,542.50/x
3. Step 3: Cross multiply
   16,140x = 35,542.50 × 35,542.50
4. Step 4: Simplify right side
   16,140x = 1,263,269,306.25
5. Step 5: Solve for x
   x = 1,263,269,306.25/16,140
6. Step 6: Final answer
   x = 78,269.47