Finding the Third Proportional to 4,114.69 and 5,587.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,114.69 : 5,587.88 = 5,587.88 : x
2. Step 2: Convert to fraction form
   4,114.69/5,587.88 = 5,587.88/x
3. Step 3: Cross multiply
   4,114.69x = 5,587.88 × 5,587.88
4. Step 4: Simplify right side
   4,114.69x = 31,224,347.02
5. Step 5: Solve for x
   x = 31,224,347.02/4,114.69
6. Step 6: Final answer
   x = 7,588.51