Finding the Third Proportional to 33,788 and 71,950

Step by Step Solution

1. Step 1: Write the proportion equation
   33,788 : 71,950 = 71,950 : x
2. Step 2: Convert to fraction form
   33,788/71,950 = 71,950/x
3. Step 3: Cross multiply
   33,788x = 71,950 × 71,950
4. Step 4: Simplify right side
   33,788x = 5,176,802,500
5. Step 5: Solve for x
   x = 5,176,802,500/33,788
6. Step 6: Final answer
   x = 153,214.23