Finding the Third Proportional to 53,814 and 73,872

Step by Step Solution

1. Step 1: Write the proportion equation
   53,814 : 73,872 = 73,872 : x
2. Step 2: Convert to fraction form
   53,814/73,872 = 73,872/x
3. Step 3: Cross multiply
   53,814x = 73,872 × 73,872
4. Step 4: Simplify right side
   53,814x = 5,457,072,384
5. Step 5: Solve for x
   x = 5,457,072,384/53,814
6. Step 6: Final answer
   x = 101,406.18