Finding the Third Proportional to 38,814.19 and 80,716.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,814.19 : 80,716.50 = 80,716.50 : x
2. Step 2: Convert to fraction form
   38,814.19/80,716.50 = 80,716.50/x
3. Step 3: Cross multiply
   38,814.19x = 80,716.50 × 80,716.50
4. Step 4: Simplify right side
   38,814.19x = 6,515,153,372.25
5. Step 5: Solve for x
   x = 6,515,153,372.25/38,814.19
6. Step 6: Final answer
   x = 167,854.95