Finding the Third Proportional to 14,864 and 23,008

Step by Step Solution

1. Step 1: Write the proportion equation
   14,864 : 23,008 = 23,008 : x
2. Step 2: Convert to fraction form
   14,864/23,008 = 23,008/x
3. Step 3: Cross multiply
   14,864x = 23,008 × 23,008
4. Step 4: Simplify right side
   14,864x = 529,368,064
5. Step 5: Solve for x
   x = 529,368,064/14,864
6. Step 6: Final answer
   x = 35,614.11