Finding the Third Proportional to 33,818 and 72,326

Step by Step Solution

1. Step 1: Write the proportion equation
   33,818 : 72,326 = 72,326 : x
2. Step 2: Convert to fraction form
   33,818/72,326 = 72,326/x
3. Step 3: Cross multiply
   33,818x = 72,326 × 72,326
4. Step 4: Simplify right side
   33,818x = 5,231,050,276
5. Step 5: Solve for x
   x = 5,231,050,276/33,818
6. Step 6: Final answer
   x = 154,682.43