Finding the Third Proportional to 21,464 and 32,072

Step by Step Solution

1. Step 1: Write the proportion equation
   21,464 : 32,072 = 32,072 : x
2. Step 2: Convert to fraction form
   21,464/32,072 = 32,072/x
3. Step 3: Cross multiply
   21,464x = 32,072 × 32,072
4. Step 4: Simplify right side
   21,464x = 1,028,613,184
5. Step 5: Solve for x
   x = 1,028,613,184/21,464
6. Step 6: Final answer
   x = 47,922.72