Finding the Third Proportional to 38,095.50 and 82,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,095.50 : 82,022.50 = 82,022.50 : x
2. Step 2: Convert to fraction form
   38,095.50/82,022.50 = 82,022.50/x
3. Step 3: Cross multiply
   38,095.50x = 82,022.50 × 82,022.50
4. Step 4: Simplify right side
   38,095.50x = 6,727,690,506.25
5. Step 5: Solve for x
   x = 6,727,690,506.25/38,095.50
6. Step 6: Final answer
   x = 176,600.66