Finding the Third Proportional to 31,565 and 67,563

Step by Step Solution

1. Step 1: Write the proportion equation
   31,565 : 67,563 = 67,563 : x
2. Step 2: Convert to fraction form
   31,565/67,563 = 67,563/x
3. Step 3: Cross multiply
   31,565x = 67,563 × 67,563
4. Step 4: Simplify right side
   31,565x = 4,564,758,969
5. Step 5: Solve for x
   x = 4,564,758,969/31,565
6. Step 6: Final answer
   x = 144,614.57