Finding the Third Proportional to 35,928 and 83,894

Step by Step Solution

1. Step 1: Write the proportion equation
   35,928 : 83,894 = 83,894 : x
2. Step 2: Convert to fraction form
   35,928/83,894 = 83,894/x
3. Step 3: Cross multiply
   35,928x = 83,894 × 83,894
4. Step 4: Simplify right side
   35,928x = 7,038,203,236
5. Step 5: Solve for x
   x = 7,038,203,236/35,928
6. Step 6: Final answer
   x = 195,897.44