Finding the Third Proportional to 33,748 and 72,678

Step by Step Solution

1. Step 1: Write the proportion equation
   33,748 : 72,678 = 72,678 : x
2. Step 2: Convert to fraction form
   33,748/72,678 = 72,678/x
3. Step 3: Cross multiply
   33,748x = 72,678 × 72,678
4. Step 4: Simplify right side
   33,748x = 5,282,091,684
5. Step 5: Solve for x
   x = 5,282,091,684/33,748
6. Step 6: Final answer
   x = 156,515.70