Finding the Third Proportional to 43,772 and 65,642

Step by Step Solution

1. Step 1: Write the proportion equation
   43,772 : 65,642 = 65,642 : x
2. Step 2: Convert to fraction form
   43,772/65,642 = 65,642/x
3. Step 3: Cross multiply
   43,772x = 65,642 × 65,642
4. Step 4: Simplify right side
   43,772x = 4,308,872,164
5. Step 5: Solve for x
   x = 4,308,872,164/43,772
6. Step 6: Final answer
   x = 98,439.01