Finding the Third Proportional to 37,844 and 57,292

Step by Step Solution

1. Step 1: Write the proportion equation
   37,844 : 57,292 = 57,292 : x
2. Step 2: Convert to fraction form
   37,844/57,292 = 57,292/x
3. Step 3: Cross multiply
   37,844x = 57,292 × 57,292
4. Step 4: Simplify right side
   37,844x = 3,282,373,264
5. Step 5: Solve for x
   x = 3,282,373,264/37,844
6. Step 6: Final answer
   x = 86,734.31