Finding the Third Proportional to 22,029 and 34,123

Step by Step Solution

1. Step 1: Write the proportion equation
   22,029 : 34,123 = 34,123 : x
2. Step 2: Convert to fraction form
   22,029/34,123 = 34,123/x
3. Step 3: Cross multiply
   22,029x = 34,123 × 34,123
4. Step 4: Simplify right side
   22,029x = 1,164,379,129
5. Step 5: Solve for x
   x = 1,164,379,129/22,029
6. Step 6: Final answer
   x = 52,856.65