Finding the Third Proportional to 10,594 and 14,123

Step by Step Solution

1. Step 1: Write the proportion equation
   10,594 : 14,123 = 14,123 : x
2. Step 2: Convert to fraction form
   10,594/14,123 = 14,123/x
3. Step 3: Cross multiply
   10,594x = 14,123 × 14,123
4. Step 4: Simplify right side
   10,594x = 199,459,129
5. Step 5: Solve for x
   x = 199,459,129/10,594
6. Step 6: Final answer
   x = 18,827.56