Finding the Third Proportional to 33,816 and 74,010

Step by Step Solution

1. Step 1: Write the proportion equation
   33,816 : 74,010 = 74,010 : x
2. Step 2: Convert to fraction form
   33,816/74,010 = 74,010/x
3. Step 3: Cross multiply
   33,816x = 74,010 × 74,010
4. Step 4: Simplify right side
   33,816x = 5,477,480,100
5. Step 5: Solve for x
   x = 5,477,480,100/33,816
6. Step 6: Final answer
   x = 161,978.95