Finding the Third Proportional to 69,858 and 101,538

Step by Step Solution

1. Step 1: Write the proportion equation
   69,858 : 101,538 = 101,538 : x
2. Step 2: Convert to fraction form
   69,858/101,538 = 101,538/x
3. Step 3: Cross multiply
   69,858x = 101,538 × 101,538
4. Step 4: Simplify right side
   69,858x = 10,309,965,444
5. Step 5: Solve for x
   x = 10,309,965,444/69,858
6. Step 6: Final answer
   x = 147,584.61