Finding the Third Proportional to 1,315 and 1,963.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,315 : 1,963.50 = 1,963.50 : x
2. Step 2: Convert to fraction form
   1,315/1,963.50 = 1,963.50/x
3. Step 3: Cross multiply
   1,315x = 1,963.50 × 1,963.50
4. Step 4: Simplify right side
   1,315x = 3,855,332.25
5. Step 5: Solve for x
   x = 3,855,332.25/1,315
6. Step 6: Final answer
   x = 2,931.81