Finding the Third Proportional to 17,838 and 23,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,838 : 23,461.50 = 23,461.50 : x
2. Step 2: Convert to fraction form
   17,838/23,461.50 = 23,461.50/x
3. Step 3: Cross multiply
   17,838x = 23,461.50 × 23,461.50
4. Step 4: Simplify right side
   17,838x = 550,441,982.25
5. Step 5: Solve for x
   x = 550,441,982.25/17,838
6. Step 6: Final answer
   x = 30,857.83