Finding the Third Proportional to 37,286 and 55,418

Step by Step Solution

1. Step 1: Write the proportion equation
   37,286 : 55,418 = 55,418 : x
2. Step 2: Convert to fraction form
   37,286/55,418 = 55,418/x
3. Step 3: Cross multiply
   37,286x = 55,418 × 55,418
4. Step 4: Simplify right side
   37,286x = 3,071,154,724
5. Step 5: Solve for x
   x = 3,071,154,724/37,286
6. Step 6: Final answer
   x = 82,367.50