Finding the Third Proportional to 27,822 and 42,654

Step by Step Solution

1. Step 1: Write the proportion equation
   27,822 : 42,654 = 42,654 : x
2. Step 2: Convert to fraction form
   27,822/42,654 = 42,654/x
3. Step 3: Cross multiply
   27,822x = 42,654 × 42,654
4. Step 4: Simplify right side
   27,822x = 1,819,363,716
5. Step 5: Solve for x
   x = 1,819,363,716/27,822
6. Step 6: Final answer
   x = 65,392.99