Finding the Third Proportional to 40,071 and 86,565

Step by Step Solution

1. Step 1: Write the proportion equation
   40,071 : 86,565 = 86,565 : x
2. Step 2: Convert to fraction form
   40,071/86,565 = 86,565/x
3. Step 3: Cross multiply
   40,071x = 86,565 × 86,565
4. Step 4: Simplify right side
   40,071x = 7,493,499,225
5. Step 5: Solve for x
   x = 7,493,499,225/40,071
6. Step 6: Final answer
   x = 187,005.55