Finding the Third Proportional to 33,863 and 52,506

Step by Step Solution

1. Step 1: Write the proportion equation
   33,863 : 52,506 = 52,506 : x
2. Step 2: Convert to fraction form
   33,863/52,506 = 52,506/x
3. Step 3: Cross multiply
   33,863x = 52,506 × 52,506
4. Step 4: Simplify right side
   33,863x = 2,756,880,036
5. Step 5: Solve for x
   x = 2,756,880,036/33,863
6. Step 6: Final answer
   x = 81,412.75