Finding the Third Proportional to 38,955.75 and 82,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,955.75 : 82,771.50 = 82,771.50 : x
2. Step 2: Convert to fraction form
   38,955.75/82,771.50 = 82,771.50/x
3. Step 3: Cross multiply
   38,955.75x = 82,771.50 × 82,771.50
4. Step 4: Simplify right side
   38,955.75x = 6,851,121,212.25
5. Step 5: Solve for x
   x = 6,851,121,212.25/38,955.75
6. Step 6: Final answer
   x = 175,869.32