Finding the Third Proportional to 33,218 and 72,964

Step by Step Solution

1. Step 1: Write the proportion equation
   33,218 : 72,964 = 72,964 : x
2. Step 2: Convert to fraction form
   33,218/72,964 = 72,964/x
3. Step 3: Cross multiply
   33,218x = 72,964 × 72,964
4. Step 4: Simplify right side
   33,218x = 5,323,745,296
5. Step 5: Solve for x
   x = 5,323,745,296/33,218
6. Step 6: Final answer
   x = 160,266.88