Finding the Third Proportional to 37,440 and 57,376

Step by Step Solution

1. Step 1: Write the proportion equation
   37,440 : 57,376 = 57,376 : x
2. Step 2: Convert to fraction form
   37,440/57,376 = 57,376/x
3. Step 3: Cross multiply
   37,440x = 57,376 × 57,376
4. Step 4: Simplify right side
   37,440x = 3,292,005,376
5. Step 5: Solve for x
   x = 3,292,005,376/37,440
6. Step 6: Final answer
   x = 87,927.49