Finding the Third Proportional to 27,822 and 59,694

Step by Step Solution

1. Step 1: Write the proportion equation
   27,822 : 59,694 = 59,694 : x
2. Step 2: Convert to fraction form
   27,822/59,694 = 59,694/x
3. Step 3: Cross multiply
   27,822x = 59,694 × 59,694
4. Step 4: Simplify right side
   27,822x = 3,563,373,636
5. Step 5: Solve for x
   x = 3,563,373,636/27,822
6. Step 6: Final answer
   x = 128,077.55