Finding the Third Proportional to 2,111.50 and 4,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,111.50 : 4,587.50 = 4,587.50 : x
2. Step 2: Convert to fraction form
   2,111.50/4,587.50 = 4,587.50/x
3. Step 3: Cross multiply
   2,111.50x = 4,587.50 × 4,587.50
4. Step 4: Simplify right side
   2,111.50x = 21,045,156.25
5. Step 5: Solve for x
   x = 21,045,156.25/2,111.50
6. Step 6: Final answer
   x = 9,966.92