Finding the Third Proportional to 35,898 and 83,848

Step by Step Solution

1. Step 1: Write the proportion equation
   35,898 : 83,848 = 83,848 : x
2. Step 2: Convert to fraction form
   35,898/83,848 = 83,848/x
3. Step 3: Cross multiply
   35,898x = 83,848 × 83,848
4. Step 4: Simplify right side
   35,898x = 7,030,487,104
5. Step 5: Solve for x
   x = 7,030,487,104/35,898
6. Step 6: Final answer
   x = 195,846.21