Finding the Third Proportional to 1,789 and 4,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,789 : 4,142.50 = 4,142.50 : x
2. Step 2: Convert to fraction form
   1,789/4,142.50 = 4,142.50/x
3. Step 3: Cross multiply
   1,789x = 4,142.50 × 4,142.50
4. Step 4: Simplify right side
   1,789x = 17,160,306.25
5. Step 5: Solve for x
   x = 17,160,306.25/1,789
6. Step 6: Final answer
   x = 9,592.12