Finding the Third Proportional to 17,833 and 25,702

Step by Step Solution

1. Step 1: Write the proportion equation
   17,833 : 25,702 = 25,702 : x
2. Step 2: Convert to fraction form
   17,833/25,702 = 25,702/x
3. Step 3: Cross multiply
   17,833x = 25,702 × 25,702
4. Step 4: Simplify right side
   17,833x = 660,592,804
5. Step 5: Solve for x
   x = 660,592,804/17,833
6. Step 6: Final answer
   x = 37,043.28