Finding the Third Proportional to 27,789 and 65,558.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,789 : 65,558.25 = 65,558.25 : x
2. Step 2: Convert to fraction form
   27,789/65,558.25 = 65,558.25/x
3. Step 3: Cross multiply
   27,789x = 65,558.25 × 65,558.25
4. Step 4: Simplify right side
   27,789x = 4,297,884,143.06
5. Step 5: Solve for x
   x = 4,297,884,143.06/27,789
6. Step 6: Final answer
   x = 154,661.35