Finding the Third Proportional to 1,948 and 2,915.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,948 : 2,915.50 = 2,915.50 : x
2. Step 2: Convert to fraction form
   1,948/2,915.50 = 2,915.50/x
3. Step 3: Cross multiply
   1,948x = 2,915.50 × 2,915.50
4. Step 4: Simplify right side
   1,948x = 8,500,140.25
5. Step 5: Solve for x
   x = 8,500,140.25/1,948
6. Step 6: Final answer
   x = 4,363.52