Finding the Third Proportional to 39,523.50 and 86,442.75

Step by Step Solution

1. Step 1: Write the proportion equation
   39,523.50 : 86,442.75 = 86,442.75 : x
2. Step 2: Convert to fraction form
   39,523.50/86,442.75 = 86,442.75/x
3. Step 3: Cross multiply
   39,523.50x = 86,442.75 × 86,442.75
4. Step 4: Simplify right side
   39,523.50x = 7,472,349,027.56
5. Step 5: Solve for x
   x = 7,472,349,027.56/39,523.50
6. Step 6: Final answer
   x = 189,060.91