Finding the Third Proportional to 36,748.97 and 80,500.64

Step by Step Solution

1. Step 1: Write the proportion equation
   36,748.97 : 80,500.64 = 80,500.64 : x
2. Step 2: Convert to fraction form
   36,748.97/80,500.64 = 80,500.64/x
3. Step 3: Cross multiply
   36,748.97x = 80,500.64 × 80,500.64
4. Step 4: Simplify right side
   36,748.97x = 6,480,353,141.04
5. Step 5: Solve for x
   x = 6,480,353,141.04/36,748.97
6. Step 6: Final answer
   x = 176,341.09