Finding the Third Proportional to 57,601.50 and 82,370.25

Step by Step Solution

1. Step 1: Write the proportion equation
   57,601.50 : 82,370.25 = 82,370.25 : x
2. Step 2: Convert to fraction form
   57,601.50/82,370.25 = 82,370.25/x
3. Step 3: Cross multiply
   57,601.50x = 82,370.25 × 82,370.25
4. Step 4: Simplify right side
   57,601.50x = 6,784,858,085.06
5. Step 5: Solve for x
   x = 6,784,858,085.06/57,601.50
6. Step 6: Final answer
   x = 117,789.61