Finding the Third Proportional to 1,256.50 and 1,917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.50 : 1,917.50 = 1,917.50 : x
2. Step 2: Convert to fraction form
   1,256.50/1,917.50 = 1,917.50/x
3. Step 3: Cross multiply
   1,256.50x = 1,917.50 × 1,917.50
4. Step 4: Simplify right side
   1,256.50x = 3,676,806.25
5. Step 5: Solve for x
   x = 3,676,806.25/1,256.50
6. Step 6: Final answer
   x = 2,926.23