Finding the Third Proportional to 33,726 and 72,856

Step by Step Solution

1. Step 1: Write the proportion equation
   33,726 : 72,856 = 72,856 : x
2. Step 2: Convert to fraction form
   33,726/72,856 = 72,856/x
3. Step 3: Cross multiply
   33,726x = 72,856 × 72,856
4. Step 4: Simplify right side
   33,726x = 5,307,996,736
5. Step 5: Solve for x
   x = 5,307,996,736/33,726
6. Step 6: Final answer
   x = 157,385.90