Finding the Third Proportional to 23,644 and 38,066

Step by Step Solution

1. Step 1: Write the proportion equation
   23,644 : 38,066 = 38,066 : x
2. Step 2: Convert to fraction form
   23,644/38,066 = 38,066/x
3. Step 3: Cross multiply
   23,644x = 38,066 × 38,066
4. Step 4: Simplify right side
   23,644x = 1,449,020,356
5. Step 5: Solve for x
   x = 1,449,020,356/23,644
6. Step 6: Final answer
   x = 61,284.91