Finding the Third Proportional to 33,434 and 52,905

Step by Step Solution

1. Step 1: Write the proportion equation
   33,434 : 52,905 = 52,905 : x
2. Step 2: Convert to fraction form
   33,434/52,905 = 52,905/x
3. Step 3: Cross multiply
   33,434x = 52,905 × 52,905
4. Step 4: Simplify right side
   33,434x = 2,798,939,025
5. Step 5: Solve for x
   x = 2,798,939,025/33,434
6. Step 6: Final answer
   x = 83,715.35