Finding the Third Proportional to 35,514 and 76,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,514 : 76,567.50 = 76,567.50 : x
2. Step 2: Convert to fraction form
   35,514/76,567.50 = 76,567.50/x
3. Step 3: Cross multiply
   35,514x = 76,567.50 × 76,567.50
4. Step 4: Simplify right side
   35,514x = 5,862,582,056.25
5. Step 5: Solve for x
   x = 5,862,582,056.25/35,514
6. Step 6: Final answer
   x = 165,078.06