Finding the Third Proportional to 17,838 and 21,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,838 : 21,082.50 = 21,082.50 : x
2. Step 2: Convert to fraction form
   17,838/21,082.50 = 21,082.50/x
3. Step 3: Cross multiply
   17,838x = 21,082.50 × 21,082.50
4. Step 4: Simplify right side
   17,838x = 444,471,806.25
5. Step 5: Solve for x
   x = 444,471,806.25/17,838
6. Step 6: Final answer
   x = 24,917.13