Finding the Third Proportional to 37,944 and 57,038.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,944 : 57,038.25 = 57,038.25 : x
2. Step 2: Convert to fraction form
   37,944/57,038.25 = 57,038.25/x
3. Step 3: Cross multiply
   37,944x = 57,038.25 × 57,038.25
4. Step 4: Simplify right side
   37,944x = 3,253,361,963.06
5. Step 5: Solve for x
   x = 3,253,361,963.06/37,944
6. Step 6: Final answer
   x = 85,741.14