Finding the Third Proportional to 53,929 and 81,648

Step by Step Solution

1. Step 1: Write the proportion equation
   53,929 : 81,648 = 81,648 : x
2. Step 2: Convert to fraction form
   53,929/81,648 = 81,648/x
3. Step 3: Cross multiply
   53,929x = 81,648 × 81,648
4. Step 4: Simplify right side
   53,929x = 6,666,395,904
5. Step 5: Solve for x
   x = 6,666,395,904/53,929
6. Step 6: Final answer
   x = 123,614.31