Finding the Third Proportional to 33,153 and 68,218.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,153 : 68,218.50 = 68,218.50 : x
2. Step 2: Convert to fraction form
   33,153/68,218.50 = 68,218.50/x
3. Step 3: Cross multiply
   33,153x = 68,218.50 × 68,218.50
4. Step 4: Simplify right side
   33,153x = 4,653,763,742.25
5. Step 5: Solve for x
   x = 4,653,763,742.25/33,153
6. Step 6: Final answer
   x = 140,372.33