Finding the Third Proportional to 40,891 and 86,124

Step by Step Solution

1. Step 1: Write the proportion equation
   40,891 : 86,124 = 86,124 : x
2. Step 2: Convert to fraction form
   40,891/86,124 = 86,124/x
3. Step 3: Cross multiply
   40,891x = 86,124 × 86,124
4. Step 4: Simplify right side
   40,891x = 7,417,343,376
5. Step 5: Solve for x
   x = 7,417,343,376/40,891
6. Step 6: Final answer
   x = 181,393.05