Finding the Third Proportional to 34,926 and 54,123

Step by Step Solution

1. Step 1: Write the proportion equation
   34,926 : 54,123 = 54,123 : x
2. Step 2: Convert to fraction form
   34,926/54,123 = 54,123/x
3. Step 3: Cross multiply
   34,926x = 54,123 × 54,123
4. Step 4: Simplify right side
   34,926x = 2,929,299,129
5. Step 5: Solve for x
   x = 2,929,299,129/34,926
6. Step 6: Final answer
   x = 83,871.59