Finding the Third Proportional to 17,143 and 25,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,143 : 25,897.50 = 25,897.50 : x
2. Step 2: Convert to fraction form
   17,143/25,897.50 = 25,897.50/x
3. Step 3: Cross multiply
   17,143x = 25,897.50 × 25,897.50
4. Step 4: Simplify right side
   17,143x = 670,680,506.25
5. Step 5: Solve for x
   x = 670,680,506.25/17,143
6. Step 6: Final answer
   x = 39,122.70