Finding the Third Proportional to 42,261.75 and 65,814.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,261.75 : 65,814.75 = 65,814.75 : x
2. Step 2: Convert to fraction form
   42,261.75/65,814.75 = 65,814.75/x
3. Step 3: Cross multiply
   42,261.75x = 65,814.75 × 65,814.75
4. Step 4: Simplify right side
   42,261.75x = 4,331,581,317.56
5. Step 5: Solve for x
   x = 4,331,581,317.56/42,261.75
6. Step 6: Final answer
   x = 102,494.13