Finding the Third Proportional to 31,072 and 45,136

Step by Step Solution

1. Step 1: Write the proportion equation
   31,072 : 45,136 = 45,136 : x
2. Step 2: Convert to fraction form
   31,072/45,136 = 45,136/x
3. Step 3: Cross multiply
   31,072x = 45,136 × 45,136
4. Step 4: Simplify right side
   31,072x = 2,037,258,496
5. Step 5: Solve for x
   x = 2,037,258,496/31,072
6. Step 6: Final answer
   x = 65,565.73