Finding the Third Proportional to 33,782 and 74,050

Step by Step Solution

1. Step 1: Write the proportion equation
   33,782 : 74,050 = 74,050 : x
2. Step 2: Convert to fraction form
   33,782/74,050 = 74,050/x
3. Step 3: Cross multiply
   33,782x = 74,050 × 74,050
4. Step 4: Simplify right side
   33,782x = 5,483,402,500
5. Step 5: Solve for x
   x = 5,483,402,500/33,782
6. Step 6: Final answer
   x = 162,317.28