Finding the Third Proportional to 1,023.56 and 2,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.56 : 2,077.50 = 2,077.50 : x
2. Step 2: Convert to fraction form
   1,023.56/2,077.50 = 2,077.50/x
3. Step 3: Cross multiply
   1,023.56x = 2,077.50 × 2,077.50
4. Step 4: Simplify right side
   1,023.56x = 4,316,006.25
5. Step 5: Solve for x
   x = 4,316,006.25/1,023.56
6. Step 6: Final answer
   x = 4,216.65