Finding the Third Proportional to 10,156 and 22,296

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156 : 22,296 = 22,296 : x
2. Step 2: Convert to fraction form
   10,156/22,296 = 22,296/x
3. Step 3: Cross multiply
   10,156x = 22,296 × 22,296
4. Step 4: Simplify right side
   10,156x = 497,111,616
5. Step 5: Solve for x
   x = 497,111,616/10,156
6. Step 6: Final answer
   x = 48,947.58