Finding the Third Proportional to 17,844 and 38,158

Step by Step Solution

1. Step 1: Write the proportion equation
   17,844 : 38,158 = 38,158 : x
2. Step 2: Convert to fraction form
   17,844/38,158 = 38,158/x
3. Step 3: Cross multiply
   17,844x = 38,158 × 38,158
4. Step 4: Simplify right side
   17,844x = 1,456,032,964
5. Step 5: Solve for x
   x = 1,456,032,964/17,844
6. Step 6: Final answer
   x = 81,597.90