Finding the Third Proportional to 33,961.50 and 74,835

Step by Step Solution

1. Step 1: Write the proportion equation
   33,961.50 : 74,835 = 74,835 : x
2. Step 2: Convert to fraction form
   33,961.50/74,835 = 74,835/x
3. Step 3: Cross multiply
   33,961.50x = 74,835 × 74,835
4. Step 4: Simplify right side
   33,961.50x = 5,600,277,225
5. Step 5: Solve for x
   x = 5,600,277,225/33,961.50
6. Step 6: Final answer
   x = 164,900.76