Finding the Third Proportional to 42,826.50 and 65,877.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,826.50 : 65,877.75 = 65,877.75 : x
2. Step 2: Convert to fraction form
   42,826.50/65,877.75 = 65,877.75/x
3. Step 3: Cross multiply
   42,826.50x = 65,877.75 × 65,877.75
4. Step 4: Simplify right side
   42,826.50x = 4,339,877,945.06
5. Step 5: Solve for x
   x = 4,339,877,945.06/42,826.50
6. Step 6: Final answer
   x = 101,336.27