Finding the Third Proportional to 33,636 and 52,650

Step by Step Solution

1. Step 1: Write the proportion equation
   33,636 : 52,650 = 52,650 : x
2. Step 2: Convert to fraction form
   33,636/52,650 = 52,650/x
3. Step 3: Cross multiply
   33,636x = 52,650 × 52,650
4. Step 4: Simplify right side
   33,636x = 2,772,022,500
5. Step 5: Solve for x
   x = 2,772,022,500/33,636
6. Step 6: Final answer
   x = 82,412.37