Finding the Third Proportional to 33,853.50 and 74,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,853.50 : 74,713.50 = 74,713.50 : x
2. Step 2: Convert to fraction form
   33,853.50/74,713.50 = 74,713.50/x
3. Step 3: Cross multiply
   33,853.50x = 74,713.50 × 74,713.50
4. Step 4: Simplify right side
   33,853.50x = 5,582,107,082.25
5. Step 5: Solve for x
   x = 5,582,107,082.25/33,853.50
6. Step 6: Final answer
   x = 164,890.10