Finding the Third Proportional to 37,127 and 57,449

Step by Step Solution

1. Step 1: Write the proportion equation
   37,127 : 57,449 = 57,449 : x
2. Step 2: Convert to fraction form
   37,127/57,449 = 57,449/x
3. Step 3: Cross multiply
   37,127x = 57,449 × 57,449
4. Step 4: Simplify right side
   37,127x = 3,300,387,601
5. Step 5: Solve for x
   x = 3,300,387,601/37,127
6. Step 6: Final answer
   x = 88,894.54