Finding the Third Proportional to 33,765 and 74,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,765 : 74,009.50 = 74,009.50 : x
2. Step 2: Convert to fraction form
   33,765/74,009.50 = 74,009.50/x
3. Step 3: Cross multiply
   33,765x = 74,009.50 × 74,009.50
4. Step 4: Simplify right side
   33,765x = 5,477,406,090.25
5. Step 5: Solve for x
   x = 5,477,406,090.25/33,765
6. Step 6: Final answer
   x = 162,221.42