Finding the Third Proportional to 27,822 and 65,648.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,822 : 65,648.25 = 65,648.25 : x
2. Step 2: Convert to fraction form
   27,822/65,648.25 = 65,648.25/x
3. Step 3: Cross multiply
   27,822x = 65,648.25 × 65,648.25
4. Step 4: Simplify right side
   27,822x = 4,309,692,728.06
5. Step 5: Solve for x
   x = 4,309,692,728.06/27,822
6. Step 6: Final answer
   x = 154,902.33