Finding the Third Proportional to 1,927.50 and 2,864.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,927.50 : 2,864.06 = 2,864.06 : x
2. Step 2: Convert to fraction form
   1,927.50/2,864.06 = 2,864.06/x
3. Step 3: Cross multiply
   1,927.50x = 2,864.06 × 2,864.06
4. Step 4: Simplify right side
   1,927.50x = 8,202,854.00
5. Step 5: Solve for x
   x = 8,202,854.00/1,927.50
6. Step 6: Final answer
   x = 4,255.70