Finding the Third Proportional to 32,801 and 77,007

Step by Step Solution

1. Step 1: Write the proportion equation
   32,801 : 77,007 = 77,007 : x
2. Step 2: Convert to fraction form
   32,801/77,007 = 77,007/x
3. Step 3: Cross multiply
   32,801x = 77,007 × 77,007
4. Step 4: Simplify right side
   32,801x = 5,930,078,049
5. Step 5: Solve for x
   x = 5,930,078,049/32,801
6. Step 6: Final answer
   x = 180,789.55