Finding the Third Proportional to 1,345.50 and 2,077.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,345.50 : 2,077.88 = 2,077.88 : x
2. Step 2: Convert to fraction form
   1,345.50/2,077.88 = 2,077.88/x
3. Step 3: Cross multiply
   1,345.50x = 2,077.88 × 2,077.88
4. Step 4: Simplify right side
   1,345.50x = 4,317,564.52
5. Step 5: Solve for x
   x = 4,317,564.52/1,345.50
6. Step 6: Final answer
   x = 3,208.89