Finding the Third Proportional to 33,948.75 and 74,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,948.75 : 74,665.50 = 74,665.50 : x
2. Step 2: Convert to fraction form
   33,948.75/74,665.50 = 74,665.50/x
3. Step 3: Cross multiply
   33,948.75x = 74,665.50 × 74,665.50
4. Step 4: Simplify right side
   33,948.75x = 5,574,936,890.25
5. Step 5: Solve for x
   x = 5,574,936,890.25/33,948.75
6. Step 6: Final answer
   x = 164,216.26