Finding the Third Proportional to 36,142.50 and 76,659

Step by Step Solution

1. Step 1: Write the proportion equation
   36,142.50 : 76,659 = 76,659 : x
2. Step 2: Convert to fraction form
   36,142.50/76,659 = 76,659/x
3. Step 3: Cross multiply
   36,142.50x = 76,659 × 76,659
4. Step 4: Simplify right side
   36,142.50x = 5,876,602,281
5. Step 5: Solve for x
   x = 5,876,602,281/36,142.50
6. Step 6: Final answer
   x = 162,595.35