Finding the Third Proportional to 42,768 and 65,822.63

Step by Step Solution

1. Step 1: Write the proportion equation
   42,768 : 65,822.63 = 65,822.63 : x
2. Step 2: Convert to fraction form
   42,768/65,822.63 = 65,822.63/x
3. Step 3: Cross multiply
   42,768x = 65,822.63 × 65,822.63
4. Step 4: Simplify right side
   42,768x = 4,332,617,961.89
5. Step 5: Solve for x
   x = 4,332,617,961.89/42,768
6. Step 6: Final answer
   x = 101,305.13