Finding the Third Proportional to 42,938 and 65,686

Step by Step Solution

1. Step 1: Write the proportion equation
   42,938 : 65,686 = 65,686 : x
2. Step 2: Convert to fraction form
   42,938/65,686 = 65,686/x
3. Step 3: Cross multiply
   42,938x = 65,686 × 65,686
4. Step 4: Simplify right side
   42,938x = 4,314,650,596
5. Step 5: Solve for x
   x = 4,314,650,596/42,938
6. Step 6: Final answer
   x = 100,485.60