Finding the Third Proportional to 10,172 and 21,592

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172 : 21,592 = 21,592 : x
2. Step 2: Convert to fraction form
   10,172/21,592 = 21,592/x
3. Step 3: Cross multiply
   10,172x = 21,592 × 21,592
4. Step 4: Simplify right side
   10,172x = 466,214,464
5. Step 5: Solve for x
   x = 466,214,464/10,172
6. Step 6: Final answer
   x = 45,833.12