Finding the Third Proportional to 27,822 and 65,634.38

Step by Step Solution

1. Step 1: Write the proportion equation
   27,822 : 65,634.38 = 65,634.38 : x
2. Step 2: Convert to fraction form
   27,822/65,634.38 = 65,634.38/x
3. Step 3: Cross multiply
   27,822x = 65,634.38 × 65,634.38
4. Step 4: Simplify right side
   27,822x = 4,307,871,181.64
5. Step 5: Solve for x
   x = 4,307,871,181.64/27,822
6. Step 6: Final answer
   x = 154,836.86