Finding the Third Proportional to 38,814 and 80,104.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,814 : 80,104.50 = 80,104.50 : x
2. Step 2: Convert to fraction form
   38,814/80,104.50 = 80,104.50/x
3. Step 3: Cross multiply
   38,814x = 80,104.50 × 80,104.50
4. Step 4: Simplify right side
   38,814x = 6,416,730,920.25
5. Step 5: Solve for x
   x = 6,416,730,920.25/38,814
6. Step 6: Final answer
   x = 165,320.01