Finding the Third Proportional to 69,655 and 101,563

Step by Step Solution

1. Step 1: Write the proportion equation
   69,655 : 101,563 = 101,563 : x
2. Step 2: Convert to fraction form
   69,655/101,563 = 101,563/x
3. Step 3: Cross multiply
   69,655x = 101,563 × 101,563
4. Step 4: Simplify right side
   69,655x = 10,315,042,969
5. Step 5: Solve for x
   x = 10,315,042,969/69,655
6. Step 6: Final answer
   x = 148,087.62