Finding the Third Proportional to 55,942 and 86,426

Step by Step Solution

1. Step 1: Write the proportion equation
   55,942 : 86,426 = 86,426 : x
2. Step 2: Convert to fraction form
   55,942/86,426 = 86,426/x
3. Step 3: Cross multiply
   55,942x = 86,426 × 86,426
4. Step 4: Simplify right side
   55,942x = 7,469,453,476
5. Step 5: Solve for x
   x = 7,469,453,476/55,942
6. Step 6: Final answer
   x = 133,521.39