Finding the Third Proportional to 33,215 and 72,263

Step by Step Solution

1. Step 1: Write the proportion equation
   33,215 : 72,263 = 72,263 : x
2. Step 2: Convert to fraction form
   33,215/72,263 = 72,263/x
3. Step 3: Cross multiply
   33,215x = 72,263 × 72,263
4. Step 4: Simplify right side
   33,215x = 5,221,941,169
5. Step 5: Solve for x
   x = 5,221,941,169/33,215
6. Step 6: Final answer
   x = 157,216.35