Finding the Third Proportional to 33,921 and 74,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,921 : 74,608.50 = 74,608.50 : x
2. Step 2: Convert to fraction form
   33,921/74,608.50 = 74,608.50/x
3. Step 3: Cross multiply
   33,921x = 74,608.50 × 74,608.50
4. Step 4: Simplify right side
   33,921x = 5,566,428,272.25
5. Step 5: Solve for x
   x = 5,566,428,272.25/33,921
6. Step 6: Final answer
   x = 164,099.77