Finding the Third Proportional to 65,384 and 101,424

Step by Step Solution

1. Step 1: Write the proportion equation
   65,384 : 101,424 = 101,424 : x
2. Step 2: Convert to fraction form
   65,384/101,424 = 101,424/x
3. Step 3: Cross multiply
   65,384x = 101,424 × 101,424
4. Step 4: Simplify right side
   65,384x = 10,286,827,776
5. Step 5: Solve for x
   x = 10,286,827,776/65,384
6. Step 6: Final answer
   x = 157,329.43