Finding the Third Proportional to 27,938 and 42,123

Step by Step Solution

1. Step 1: Write the proportion equation
   27,938 : 42,123 = 42,123 : x
2. Step 2: Convert to fraction form
   27,938/42,123 = 42,123/x
3. Step 3: Cross multiply
   27,938x = 42,123 × 42,123
4. Step 4: Simplify right side
   27,938x = 1,774,347,129
5. Step 5: Solve for x
   x = 1,774,347,129/27,938
6. Step 6: Final answer
   x = 63,510.17