Finding the Third Proportional to 39,102.38 and 85,980.75

Step by Step Solution

1. Step 1: Write the proportion equation
   39,102.38 : 85,980.75 = 85,980.75 : x
2. Step 2: Convert to fraction form
   39,102.38/85,980.75 = 85,980.75/x
3. Step 3: Cross multiply
   39,102.38x = 85,980.75 × 85,980.75
4. Step 4: Simplify right side
   39,102.38x = 7,392,689,370.56
5. Step 5: Solve for x
   x = 7,392,689,370.56/39,102.38
6. Step 6: Final answer
   x = 189,059.86