Finding the Third Proportional to 38,380.50 and 81,857.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,380.50 : 81,857.25 = 81,857.25 : x
2. Step 2: Convert to fraction form
   38,380.50/81,857.25 = 81,857.25/x
3. Step 3: Cross multiply
   38,380.50x = 81,857.25 × 81,857.25
4. Step 4: Simplify right side
   38,380.50x = 6,700,609,377.56
5. Step 5: Solve for x
   x = 6,700,609,377.56/38,380.50
6. Step 6: Final answer
   x = 174,583.69