Finding the Third Proportional to 17,870 and 25,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,870 : 25,644.50 = 25,644.50 : x
2. Step 2: Convert to fraction form
   17,870/25,644.50 = 25,644.50/x
3. Step 3: Cross multiply
   17,870x = 25,644.50 × 25,644.50
4. Step 4: Simplify right side
   17,870x = 657,640,380.25
5. Step 5: Solve for x
   x = 657,640,380.25/17,870
6. Step 6: Final answer
   x = 36,801.36