Finding the Third Proportional to 27,727.25 and 42,662

Step by Step Solution

1. Step 1: Write the proportion equation
   27,727.25 : 42,662 = 42,662 : x
2. Step 2: Convert to fraction form
   27,727.25/42,662 = 42,662/x
3. Step 3: Cross multiply
   27,727.25x = 42,662 × 42,662
4. Step 4: Simplify right side
   27,727.25x = 1,820,046,244
5. Step 5: Solve for x
   x = 1,820,046,244/27,727.25
6. Step 6: Final answer
   x = 65,641.07