Finding the Third Proportional to 39,822.38 and 86,889.38

Step by Step Solution

1. Step 1: Write the proportion equation
   39,822.38 : 86,889.38 = 86,889.38 : x
2. Step 2: Convert to fraction form
   39,822.38/86,889.38 = 86,889.38/x
3. Step 3: Cross multiply
   39,822.38x = 86,889.38 × 86,889.38
4. Step 4: Simplify right side
   39,822.38x = 7,549,763,487.89
5. Step 5: Solve for x
   x = 7,549,763,487.89/39,822.38
6. Step 6: Final answer
   x = 189,585.97