Finding the Third Proportional to 35,924 and 83,916

Step by Step Solution

1. Step 1: Write the proportion equation
   35,924 : 83,916 = 83,916 : x
2. Step 2: Convert to fraction form
   35,924/83,916 = 83,916/x
3. Step 3: Cross multiply
   35,924x = 83,916 × 83,916
4. Step 4: Simplify right side
   35,924x = 7,041,895,056
5. Step 5: Solve for x
   x = 7,041,895,056/35,924
6. Step 6: Final answer
   x = 196,022.02