Finding the Third Proportional to 33,506 and 72,844

Step by Step Solution

1. Step 1: Write the proportion equation
   33,506 : 72,844 = 72,844 : x
2. Step 2: Convert to fraction form
   33,506/72,844 = 72,844/x
3. Step 3: Cross multiply
   33,506x = 72,844 × 72,844
4. Step 4: Simplify right side
   33,506x = 5,306,248,336
5. Step 5: Solve for x
   x = 5,306,248,336/33,506
6. Step 6: Final answer
   x = 158,367.11