Finding the Third Proportional to 33,764 and 74,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,764 : 74,007.50 = 74,007.50 : x
2. Step 2: Convert to fraction form
   33,764/74,007.50 = 74,007.50/x
3. Step 3: Cross multiply
   33,764x = 74,007.50 × 74,007.50
4. Step 4: Simplify right side
   33,764x = 5,477,110,056.25
5. Step 5: Solve for x
   x = 5,477,110,056.25/33,764
6. Step 6: Final answer
   x = 162,217.45