Finding the Third Proportional to 1,117.69 and 2,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,117.69 : 2,587.50 = 2,587.50 : x
2. Step 2: Convert to fraction form
   1,117.69/2,587.50 = 2,587.50/x
3. Step 3: Cross multiply
   1,117.69x = 2,587.50 × 2,587.50
4. Step 4: Simplify right side
   1,117.69x = 6,695,156.25
5. Step 5: Solve for x
   x = 6,695,156.25/1,117.69
6. Step 6: Final answer
   x = 5,990.19