Finding the Third Proportional to 33,110 and 72,409

Step by Step Solution

1. Step 1: Write the proportion equation
   33,110 : 72,409 = 72,409 : x
2. Step 2: Convert to fraction form
   33,110/72,409 = 72,409/x
3. Step 3: Cross multiply
   33,110x = 72,409 × 72,409
4. Step 4: Simplify right side
   33,110x = 5,243,063,281
5. Step 5: Solve for x
   x = 5,243,063,281/33,110
6. Step 6: Final answer
   x = 158,352.86