Finding the Third Proportional to 27,070 and 41,662

Step by Step Solution

1. Step 1: Write the proportion equation
   27,070 : 41,662 = 41,662 : x
2. Step 2: Convert to fraction form
   27,070/41,662 = 41,662/x
3. Step 3: Cross multiply
   27,070x = 41,662 × 41,662
4. Step 4: Simplify right side
   27,070x = 1,735,722,244
5. Step 5: Solve for x
   x = 1,735,722,244/27,070
6. Step 6: Final answer
   x = 64,119.77