Finding the Third Proportional to 37,706 and 55,413

Step by Step Solution

1. Step 1: Write the proportion equation
   37,706 : 55,413 = 55,413 : x
2. Step 2: Convert to fraction form
   37,706/55,413 = 55,413/x
3. Step 3: Cross multiply
   37,706x = 55,413 × 55,413
4. Step 4: Simplify right side
   37,706x = 3,070,600,569
5. Step 5: Solve for x
   x = 3,070,600,569/37,706
6. Step 6: Final answer
   x = 81,435.33