Finding the Third Proportional to 38,497.50 and 82,743.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,497.50 : 82,743.75 = 82,743.75 : x
2. Step 2: Convert to fraction form
   38,497.50/82,743.75 = 82,743.75/x
3. Step 3: Cross multiply
   38,497.50x = 82,743.75 × 82,743.75
4. Step 4: Simplify right side
   38,497.50x = 6,846,528,164.06
5. Step 5: Solve for x
   x = 6,846,528,164.06/38,497.50
6. Step 6: Final answer
   x = 177,843.45