Finding the Third Proportional to 32,123 and 51,105

Step by Step Solution

1. Step 1: Write the proportion equation
   32,123 : 51,105 = 51,105 : x
2. Step 2: Convert to fraction form
   32,123/51,105 = 51,105/x
3. Step 3: Cross multiply
   32,123x = 51,105 × 51,105
4. Step 4: Simplify right side
   32,123x = 2,611,721,025
5. Step 5: Solve for x
   x = 2,611,721,025/32,123
6. Step 6: Final answer
   x = 81,303.77