Finding the Third Proportional to 1,567.27 and 2,417.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,567.27 : 2,417.77 = 2,417.77 : x
2. Step 2: Convert to fraction form
   1,567.27/2,417.77 = 2,417.77/x
3. Step 3: Cross multiply
   1,567.27x = 2,417.77 × 2,417.77
4. Step 4: Simplify right side
   1,567.27x = 5,845,590.62
5. Step 5: Solve for x
   x = 5,845,590.62/1,567.27
6. Step 6: Final answer
   x = 3,729.80