Finding the Third Proportional to 27,826 and 65,620

Step by Step Solution

1. Step 1: Write the proportion equation
   27,826 : 65,620 = 65,620 : x
2. Step 2: Convert to fraction form
   27,826/65,620 = 65,620/x
3. Step 3: Cross multiply
   27,826x = 65,620 × 65,620
4. Step 4: Simplify right side
   27,826x = 4,305,984,400
5. Step 5: Solve for x
   x = 4,305,984,400/27,826
6. Step 6: Final answer
   x = 154,746.80