Finding the Third Proportional to 33,790.50 and 50,409

Step by Step Solution

1. Step 1: Write the proportion equation
   33,790.50 : 50,409 = 50,409 : x
2. Step 2: Convert to fraction form
   33,790.50/50,409 = 50,409/x
3. Step 3: Cross multiply
   33,790.50x = 50,409 × 50,409
4. Step 4: Simplify right side
   33,790.50x = 2,541,067,281
5. Step 5: Solve for x
   x = 2,541,067,281/33,790.50
6. Step 6: Final answer
   x = 75,200.64