Finding the Third Proportional to 10,562 and 22,316

Step by Step Solution

1. Step 1: Write the proportion equation
   10,562 : 22,316 = 22,316 : x
2. Step 2: Convert to fraction form
   10,562/22,316 = 22,316/x
3. Step 3: Cross multiply
   10,562x = 22,316 × 22,316
4. Step 4: Simplify right side
   10,562x = 498,003,856
5. Step 5: Solve for x
   x = 498,003,856/10,562
6. Step 6: Final answer
   x = 47,150.53