Finding the Third Proportional to 21,223 and 32,513

Step by Step Solution

1. Step 1: Write the proportion equation
   21,223 : 32,513 = 32,513 : x
2. Step 2: Convert to fraction form
   21,223/32,513 = 32,513/x
3. Step 3: Cross multiply
   21,223x = 32,513 × 32,513
4. Step 4: Simplify right side
   21,223x = 1,057,095,169
5. Step 5: Solve for x
   x = 1,057,095,169/21,223
6. Step 6: Final answer
   x = 49,808.94