Finding the Third Proportional to 36,760.50 and 79,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,760.50 : 79,742.50 = 79,742.50 : x
2. Step 2: Convert to fraction form
   36,760.50/79,742.50 = 79,742.50/x
3. Step 3: Cross multiply
   36,760.50x = 79,742.50 × 79,742.50
4. Step 4: Simplify right side
   36,760.50x = 6,358,866,306.25
5. Step 5: Solve for x
   x = 6,358,866,306.25/36,760.50
6. Step 6: Final answer
   x = 172,980.95