Finding the Third Proportional to 42,007 and 65,723

Step by Step Solution

1. Step 1: Write the proportion equation
   42,007 : 65,723 = 65,723 : x
2. Step 2: Convert to fraction form
   42,007/65,723 = 65,723/x
3. Step 3: Cross multiply
   42,007x = 65,723 × 65,723
4. Step 4: Simplify right side
   42,007x = 4,319,512,729
5. Step 5: Solve for x
   x = 4,319,512,729/42,007
6. Step 6: Final answer
   x = 102,828.40