Finding the Third Proportional to 17,506 and 25,747

Step by Step Solution

1. Step 1: Write the proportion equation
   17,506 : 25,747 = 25,747 : x
2. Step 2: Convert to fraction form
   17,506/25,747 = 25,747/x
3. Step 3: Cross multiply
   17,506x = 25,747 × 25,747
4. Step 4: Simplify right side
   17,506x = 662,908,009
5. Step 5: Solve for x
   x = 662,908,009/17,506
6. Step 6: Final answer
   x = 37,867.47