Finding the Third Proportional to 27,164 and 41,300

Step by Step Solution

1. Step 1: Write the proportion equation
   27,164 : 41,300 = 41,300 : x
2. Step 2: Convert to fraction form
   27,164/41,300 = 41,300/x
3. Step 3: Cross multiply
   27,164x = 41,300 × 41,300
4. Step 4: Simplify right side
   27,164x = 1,705,690,000
5. Step 5: Solve for x
   x = 1,705,690,000/27,164
6. Step 6: Final answer
   x = 62,792.30