Finding the Third Proportional to 37,639 and 55,418

Step by Step Solution

1. Step 1: Write the proportion equation
   37,639 : 55,418 = 55,418 : x
2. Step 2: Convert to fraction form
   37,639/55,418 = 55,418/x
3. Step 3: Cross multiply
   37,639x = 55,418 × 55,418
4. Step 4: Simplify right side
   37,639x = 3,071,154,724
5. Step 5: Solve for x
   x = 3,071,154,724/37,639
6. Step 6: Final answer
   x = 81,595.01