Finding the Third Proportional to 33,465 and 51,846

Step by Step Solution

1. Step 1: Write the proportion equation
   33,465 : 51,846 = 51,846 : x
2. Step 2: Convert to fraction form
   33,465/51,846 = 51,846/x
3. Step 3: Cross multiply
   33,465x = 51,846 × 51,846
4. Step 4: Simplify right side
   33,465x = 2,688,007,716
5. Step 5: Solve for x
   x = 2,688,007,716/33,465
6. Step 6: Final answer
   x = 80,322.96