Finding the Third Proportional to 39,564 and 86,040

Step by Step Solution

1. Step 1: Write the proportion equation
   39,564 : 86,040 = 86,040 : x
2. Step 2: Convert to fraction form
   39,564/86,040 = 86,040/x
3. Step 3: Cross multiply
   39,564x = 86,040 × 86,040
4. Step 4: Simplify right side
   39,564x = 7,402,881,600
5. Step 5: Solve for x
   x = 7,402,881,600/39,564
6. Step 6: Final answer
   x = 187,111.56