Finding the Third Proportional to 35,940 and 83,924

Step by Step Solution

1. Step 1: Write the proportion equation
   35,940 : 83,924 = 83,924 : x
2. Step 2: Convert to fraction form
   35,940/83,924 = 83,924/x
3. Step 3: Cross multiply
   35,940x = 83,924 × 83,924
4. Step 4: Simplify right side
   35,940x = 7,043,237,776
5. Step 5: Solve for x
   x = 7,043,237,776/35,940
6. Step 6: Final answer
   x = 195,972.11