Finding the Third Proportional to 33,976.50 and 74,124

Step by Step Solution

1. Step 1: Write the proportion equation
   33,976.50 : 74,124 = 74,124 : x
2. Step 2: Convert to fraction form
   33,976.50/74,124 = 74,124/x
3. Step 3: Cross multiply
   33,976.50x = 74,124 × 74,124
4. Step 4: Simplify right side
   33,976.50x = 5,494,367,376
5. Step 5: Solve for x
   x = 5,494,367,376/33,976.50
6. Step 6: Final answer
   x = 161,710.81