Finding the Third Proportional to 33,566.50 and 73,123.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,566.50 : 73,123.75 = 73,123.75 : x
2. Step 2: Convert to fraction form
   33,566.50/73,123.75 = 73,123.75/x
3. Step 3: Cross multiply
   33,566.50x = 73,123.75 × 73,123.75
4. Step 4: Simplify right side
   33,566.50x = 5,347,082,814.06
5. Step 5: Solve for x
   x = 5,347,082,814.06/33,566.50
6. Step 6: Final answer
   x = 159,298.19