Finding the Third Proportional to 42,321.75 and 65,742.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,321.75 : 65,742.75 = 65,742.75 : x
2. Step 2: Convert to fraction form
   42,321.75/65,742.75 = 65,742.75/x
3. Step 3: Cross multiply
   42,321.75x = 65,742.75 × 65,742.75
4. Step 4: Simplify right side
   42,321.75x = 4,322,109,177.56
5. Step 5: Solve for x
   x = 4,322,109,177.56/42,321.75
6. Step 6: Final answer
   x = 102,125.01