Finding the Third Proportional to 16,516 and 22,123

Step by Step Solution

1. Step 1: Write the proportion equation
   16,516 : 22,123 = 22,123 : x
2. Step 2: Convert to fraction form
   16,516/22,123 = 22,123/x
3. Step 3: Cross multiply
   16,516x = 22,123 × 22,123
4. Step 4: Simplify right side
   16,516x = 489,427,129
5. Step 5: Solve for x
   x = 489,427,129/16,516
6. Step 6: Final answer
   x = 29,633.51