Finding the Third Proportional to 30,648.38 and 71,624.25

Step by Step Solution

1. Step 1: Write the proportion equation
   30,648.38 : 71,624.25 = 71,624.25 : x
2. Step 2: Convert to fraction form
   30,648.38/71,624.25 = 71,624.25/x
3. Step 3: Cross multiply
   30,648.38x = 71,624.25 × 71,624.25
4. Step 4: Simplify right side
   30,648.38x = 5,130,033,188.06
5. Step 5: Solve for x
   x = 5,130,033,188.06/30,648.38
6. Step 6: Final answer
   x = 167,383.53