Finding the Third Proportional to 1,557.56 and 2,701.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,557.56 : 2,701.69 = 2,701.69 : x
2. Step 2: Convert to fraction form
   1,557.56/2,701.69 = 2,701.69/x
3. Step 3: Cross multiply
   1,557.56x = 2,701.69 × 2,701.69
4. Step 4: Simplify right side
   1,557.56x = 7,299,115.35
5. Step 5: Solve for x
   x = 7,299,115.35/1,557.56
6. Step 6: Final answer
   x = 4,686.24