Finding the Third Proportional to 53,822 and 73,884

Step by Step Solution

1. Step 1: Write the proportion equation
   53,822 : 73,884 = 73,884 : x
2. Step 2: Convert to fraction form
   53,822/73,884 = 73,884/x
3. Step 3: Cross multiply
   53,822x = 73,884 × 73,884
4. Step 4: Simplify right side
   53,822x = 5,458,845,456
5. Step 5: Solve for x
   x = 5,458,845,456/53,822
6. Step 6: Final answer
   x = 101,424.05