Finding the Third Proportional to 30,801 and 71,980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,801 : 71,980.50 = 71,980.50 : x
2. Step 2: Convert to fraction form
   30,801/71,980.50 = 71,980.50/x
3. Step 3: Cross multiply
   30,801x = 71,980.50 × 71,980.50
4. Step 4: Simplify right side
   30,801x = 5,181,192,380.25
5. Step 5: Solve for x
   x = 5,181,192,380.25/30,801
6. Step 6: Final answer
   x = 168,215.07