Finding the Third Proportional to 31,821 and 67,123

Step by Step Solution

1. Step 1: Write the proportion equation
   31,821 : 67,123 = 67,123 : x
2. Step 2: Convert to fraction form
   31,821/67,123 = 67,123/x
3. Step 3: Cross multiply
   31,821x = 67,123 × 67,123
4. Step 4: Simplify right side
   31,821x = 4,505,497,129
5. Step 5: Solve for x
   x = 4,505,497,129/31,821
6. Step 6: Final answer
   x = 141,588.80