Finding the Third Proportional to 31,546 and 69,653

Step by Step Solution

1. Step 1: Write the proportion equation
   31,546 : 69,653 = 69,653 : x
2. Step 2: Convert to fraction form
   31,546/69,653 = 69,653/x
3. Step 3: Cross multiply
   31,546x = 69,653 × 69,653
4. Step 4: Simplify right side
   31,546x = 4,851,540,409
5. Step 5: Solve for x
   x = 4,851,540,409/31,546
6. Step 6: Final answer
   x = 153,792.57