Finding the Third Proportional to 33,506 and 50,692

Step by Step Solution

1. Step 1: Write the proportion equation
   33,506 : 50,692 = 50,692 : x
2. Step 2: Convert to fraction form
   33,506/50,692 = 50,692/x
3. Step 3: Cross multiply
   33,506x = 50,692 × 50,692
4. Step 4: Simplify right side
   33,506x = 2,569,678,864
5. Step 5: Solve for x
   x = 2,569,678,864/33,506
6. Step 6: Final answer
   x = 76,693.10