Finding the Third Proportional to 2,977.50 and 3,915.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,977.50 : 3,915.75 = 3,915.75 : x
2. Step 2: Convert to fraction form
   2,977.50/3,915.75 = 3,915.75/x
3. Step 3: Cross multiply
   2,977.50x = 3,915.75 × 3,915.75
4. Step 4: Simplify right side
   2,977.50x = 15,333,098.06
5. Step 5: Solve for x
   x = 15,333,098.06/2,977.50
6. Step 6: Final answer
   x = 5,149.66