Finding the Third Proportional to 67,871 and 99,835

Step by Step Solution

1. Step 1: Write the proportion equation
   67,871 : 99,835 = 99,835 : x
2. Step 2: Convert to fraction form
   67,871/99,835 = 99,835/x
3. Step 3: Cross multiply
   67,871x = 99,835 × 99,835
4. Step 4: Simplify right side
   67,871x = 9,967,027,225
5. Step 5: Solve for x
   x = 9,967,027,225/67,871
6. Step 6: Final answer
   x = 146,852.52