Finding the Third Proportional to 33,588 and 50,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,588 : 50,206.50 = 50,206.50 : x
2. Step 2: Convert to fraction form
   33,588/50,206.50 = 50,206.50/x
3. Step 3: Cross multiply
   33,588x = 50,206.50 × 50,206.50
4. Step 4: Simplify right side
   33,588x = 2,520,692,642.25
5. Step 5: Solve for x
   x = 2,520,692,642.25/33,588
6. Step 6: Final answer
   x = 75,047.42