Finding the Third Proportional to 23,678 and 32,061

Step by Step Solution

1. Step 1: Write the proportion equation
   23,678 : 32,061 = 32,061 : x
2. Step 2: Convert to fraction form
   23,678/32,061 = 32,061/x
3. Step 3: Cross multiply
   23,678x = 32,061 × 32,061
4. Step 4: Simplify right side
   23,678x = 1,027,907,721
5. Step 5: Solve for x
   x = 1,027,907,721/23,678
6. Step 6: Final answer
   x = 43,411.93