Finding the Third Proportional to 38,164 and 58,694

Step by Step Solution

1. Step 1: Write the proportion equation
   38,164 : 58,694 = 58,694 : x
2. Step 2: Convert to fraction form
   38,164/58,694 = 58,694/x
3. Step 3: Cross multiply
   38,164x = 58,694 × 58,694
4. Step 4: Simplify right side
   38,164x = 3,444,985,636
5. Step 5: Solve for x
   x = 3,444,985,636/38,164
6. Step 6: Final answer
   x = 90,267.94