Finding the Third Proportional to 33,947 and 51,468

Step by Step Solution

1. Step 1: Write the proportion equation
   33,947 : 51,468 = 51,468 : x
2. Step 2: Convert to fraction form
   33,947/51,468 = 51,468/x
3. Step 3: Cross multiply
   33,947x = 51,468 × 51,468
4. Step 4: Simplify right side
   33,947x = 2,648,955,024
5. Step 5: Solve for x
   x = 2,648,955,024/33,947
6. Step 6: Final answer
   x = 78,032.08