Finding the Third Proportional to 14,864 and 23,007

Step by Step Solution

1. Step 1: Write the proportion equation
   14,864 : 23,007 = 23,007 : x
2. Step 2: Convert to fraction form
   14,864/23,007 = 23,007/x
3. Step 3: Cross multiply
   14,864x = 23,007 × 23,007
4. Step 4: Simplify right side
   14,864x = 529,322,049
5. Step 5: Solve for x
   x = 529,322,049/14,864
6. Step 6: Final answer
   x = 35,611.01