Finding the Third Proportional to 31,746 and 69,136

Step by Step Solution

1. Step 1: Write the proportion equation
   31,746 : 69,136 = 69,136 : x
2. Step 2: Convert to fraction form
   31,746/69,136 = 69,136/x
3. Step 3: Cross multiply
   31,746x = 69,136 × 69,136
4. Step 4: Simplify right side
   31,746x = 4,779,786,496
5. Step 5: Solve for x
   x = 4,779,786,496/31,746
6. Step 6: Final answer
   x = 150,563.43