Finding the Third Proportional to 38,601.75 and 82,123.88

Step by Step Solution

1. Step 1: Write the proportion equation
   38,601.75 : 82,123.88 = 82,123.88 : x
2. Step 2: Convert to fraction form
   38,601.75/82,123.88 = 82,123.88/x
3. Step 3: Cross multiply
   38,601.75x = 82,123.88 × 82,123.88
4. Step 4: Simplify right side
   38,601.75x = 6,744,330,845.02
5. Step 5: Solve for x
   x = 6,744,330,845.02/38,601.75
6. Step 6: Final answer
   x = 174,715.68