Finding the Third Proportional to 37,757 and 55,541

Step by Step Solution

1. Step 1: Write the proportion equation
   37,757 : 55,541 = 55,541 : x
2. Step 2: Convert to fraction form
   37,757/55,541 = 55,541/x
3. Step 3: Cross multiply
   37,757x = 55,541 × 55,541
4. Step 4: Simplify right side
   37,757x = 3,084,802,681
5. Step 5: Solve for x
   x = 3,084,802,681/37,757
6. Step 6: Final answer
   x = 81,701.48