Finding the Third Proportional to 23,696 and 32,136

Step by Step Solution

1. Step 1: Write the proportion equation
   23,696 : 32,136 = 32,136 : x
2. Step 2: Convert to fraction form
   23,696/32,136 = 32,136/x
3. Step 3: Cross multiply
   23,696x = 32,136 × 32,136
4. Step 4: Simplify right side
   23,696x = 1,032,722,496
5. Step 5: Solve for x
   x = 1,032,722,496/23,696
6. Step 6: Final answer
   x = 43,582.14