Finding the Third Proportional to 27,826 and 65,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,826 : 65,619.50 = 65,619.50 : x
2. Step 2: Convert to fraction form
   27,826/65,619.50 = 65,619.50/x
3. Step 3: Cross multiply
   27,826x = 65,619.50 × 65,619.50
4. Step 4: Simplify right side
   27,826x = 4,305,918,780.25
5. Step 5: Solve for x
   x = 4,305,918,780.25/27,826
6. Step 6: Final answer
   x = 154,744.44