Finding the Third Proportional to 33,138 and 50,189.63

Step by Step Solution

1. Step 1: Write the proportion equation
   33,138 : 50,189.63 = 50,189.63 : x
2. Step 2: Convert to fraction form
   33,138/50,189.63 = 50,189.63/x
3. Step 3: Cross multiply
   33,138x = 50,189.63 × 50,189.63
4. Step 4: Simplify right side
   33,138x = 2,518,998,457.64
5. Step 5: Solve for x
   x = 2,518,998,457.64/33,138
6. Step 6: Final answer
   x = 76,015.40