Finding the Third Proportional to 17,561 and 38,406

Step by Step Solution

1. Step 1: Write the proportion equation
   17,561 : 38,406 = 38,406 : x
2. Step 2: Convert to fraction form
   17,561/38,406 = 38,406/x
3. Step 3: Cross multiply
   17,561x = 38,406 × 38,406
4. Step 4: Simplify right side
   17,561x = 1,475,020,836
5. Step 5: Solve for x
   x = 1,475,020,836/17,561
6. Step 6: Final answer
   x = 83,994.13