Finding the Third Proportional to 17,406 and 38,151

Step by Step Solution

1. Step 1: Write the proportion equation
   17,406 : 38,151 = 38,151 : x
2. Step 2: Convert to fraction form
   17,406/38,151 = 38,151/x
3. Step 3: Cross multiply
   17,406x = 38,151 × 38,151
4. Step 4: Simplify right side
   17,406x = 1,455,498,801
5. Step 5: Solve for x
   x = 1,455,498,801/17,406
6. Step 6: Final answer
   x = 83,620.52