Finding the Third Proportional to 31,969.69 and 68,136.19

Step by Step Solution

1. Step 1: Write the proportion equation
   31,969.69 : 68,136.19 = 68,136.19 : x
2. Step 2: Convert to fraction form
   31,969.69/68,136.19 = 68,136.19/x
3. Step 3: Cross multiply
   31,969.69x = 68,136.19 × 68,136.19
4. Step 4: Simplify right side
   31,969.69x = 4,642,540,047.04
5. Step 5: Solve for x
   x = 4,642,540,047.04/31,969.69
6. Step 6: Final answer
   x = 145,216.94