Finding the Third Proportional to 1,915.88 and 3,871.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,915.88 : 3,871.69 = 3,871.69 : x
2. Step 2: Convert to fraction form
   1,915.88/3,871.69 = 3,871.69/x
3. Step 3: Cross multiply
   1,915.88x = 3,871.69 × 3,871.69
4. Step 4: Simplify right side
   1,915.88x = 14,989,964.10
5. Step 5: Solve for x
   x = 14,989,964.10/1,915.88
6. Step 6: Final answer
   x = 7,824.08