Finding the Third Proportional to 33,438 and 78,930

Step by Step Solution

1. Step 1: Write the proportion equation
   33,438 : 78,930 = 78,930 : x
2. Step 2: Convert to fraction form
   33,438/78,930 = 78,930/x
3. Step 3: Cross multiply
   33,438x = 78,930 × 78,930
4. Step 4: Simplify right side
   33,438x = 6,229,944,900
5. Step 5: Solve for x
   x = 6,229,944,900/33,438
6. Step 6: Final answer
   x = 186,313.32