Finding the Third Proportional to 2,316.50 and 3,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,316.50 : 3,587.50 = 3,587.50 : x
2. Step 2: Convert to fraction form
   2,316.50/3,587.50 = 3,587.50/x
3. Step 3: Cross multiply
   2,316.50x = 3,587.50 × 3,587.50
4. Step 4: Simplify right side
   2,316.50x = 12,870,156.25
5. Step 5: Solve for x
   x = 12,870,156.25/2,316.50
6. Step 6: Final answer
   x = 5,555.86