Finding the Third Proportional to 1,268 and 2,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,268 : 2,012.50 = 2,012.50 : x
2. Step 2: Convert to fraction form
   1,268/2,012.50 = 2,012.50/x
3. Step 3: Cross multiply
   1,268x = 2,012.50 × 2,012.50
4. Step 4: Simplify right side
   1,268x = 4,050,156.25
5. Step 5: Solve for x
   x = 4,050,156.25/1,268
6. Step 6: Final answer
   x = 3,194.13