Finding the Third Proportional to 27,786 and 65,552

Step by Step Solution

1. Step 1: Write the proportion equation
   27,786 : 65,552 = 65,552 : x
2. Step 2: Convert to fraction form
   27,786/65,552 = 65,552/x
3. Step 3: Cross multiply
   27,786x = 65,552 × 65,552
4. Step 4: Simplify right side
   27,786x = 4,297,064,704
5. Step 5: Solve for x
   x = 4,297,064,704/27,786
6. Step 6: Final answer
   x = 154,648.55