Finding the Third Proportional to 33,632 and 73,840

Step by Step Solution

1. Step 1: Write the proportion equation
   33,632 : 73,840 = 73,840 : x
2. Step 2: Convert to fraction form
   33,632/73,840 = 73,840/x
3. Step 3: Cross multiply
   33,632x = 73,840 × 73,840
4. Step 4: Simplify right side
   33,632x = 5,452,345,600
5. Step 5: Solve for x
   x = 5,452,345,600/33,632
6. Step 6: Final answer
   x = 162,117.79