Finding the Third Proportional to 397.50 and 915.38

Step by Step Solution

1. Step 1: Write the proportion equation
   397.50 : 915.38 = 915.38 : x
2. Step 2: Convert to fraction form
   397.50/915.38 = 915.38/x
3. Step 3: Cross multiply
   397.50x = 915.38 × 915.38
4. Step 4: Simplify right side
   397.50x = 837,911.39
5. Step 5: Solve for x
   x = 837,911.39/397.50
6. Step 6: Final answer
   x = 2,107.95