Finding the Third Proportional to 33,185 and 72,202.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,185 : 72,202.50 = 72,202.50 : x
2. Step 2: Convert to fraction form
   33,185/72,202.50 = 72,202.50/x
3. Step 3: Cross multiply
   33,185x = 72,202.50 × 72,202.50
4. Step 4: Simplify right side
   33,185x = 5,213,201,006.25
5. Step 5: Solve for x
   x = 5,213,201,006.25/33,185
6. Step 6: Final answer
   x = 157,095.10