Finding the Third Proportional to 33,748 and 74,109

Step by Step Solution

1. Step 1: Write the proportion equation
   33,748 : 74,109 = 74,109 : x
2. Step 2: Convert to fraction form
   33,748/74,109 = 74,109/x
3. Step 3: Cross multiply
   33,748x = 74,109 × 74,109
4. Step 4: Simplify right side
   33,748x = 5,492,143,881
5. Step 5: Solve for x
   x = 5,492,143,881/33,748
6. Step 6: Final answer
   x = 162,739.83