Finding the Third Proportional to 2,100.50 and 4,565

Step by Step Solution

1. Step 1: Write the proportion equation
   2,100.50 : 4,565 = 4,565 : x
2. Step 2: Convert to fraction form
   2,100.50/4,565 = 4,565/x
3. Step 3: Cross multiply
   2,100.50x = 4,565 × 4,565
4. Step 4: Simplify right side
   2,100.50x = 20,839,225
5. Step 5: Solve for x
   x = 20,839,225/2,100.50
6. Step 6: Final answer
   x = 9,921.08