Finding the Third Proportional to 35,938 and 83,941

Step by Step Solution

1. Step 1: Write the proportion equation
   35,938 : 83,941 = 83,941 : x
2. Step 2: Convert to fraction form
   35,938/83,941 = 83,941/x
3. Step 3: Cross multiply
   35,938x = 83,941 × 83,941
4. Step 4: Simplify right side
   35,938x = 7,046,091,481
5. Step 5: Solve for x
   x = 7,046,091,481/35,938
6. Step 6: Final answer
   x = 196,062.43