Finding the Third Proportional to 23,822 and 32,696

Step by Step Solution

1. Step 1: Write the proportion equation
   23,822 : 32,696 = 32,696 : x
2. Step 2: Convert to fraction form
   23,822/32,696 = 32,696/x
3. Step 3: Cross multiply
   23,822x = 32,696 × 32,696
4. Step 4: Simplify right side
   23,822x = 1,069,028,416
5. Step 5: Solve for x
   x = 1,069,028,416/23,822
6. Step 6: Final answer
   x = 44,875.68