Finding the Third Proportional to 33,974 and 72,322

Step by Step Solution

1. Step 1: Write the proportion equation
   33,974 : 72,322 = 72,322 : x
2. Step 2: Convert to fraction form
   33,974/72,322 = 72,322/x
3. Step 3: Cross multiply
   33,974x = 72,322 × 72,322
4. Step 4: Simplify right side
   33,974x = 5,230,471,684
5. Step 5: Solve for x
   x = 5,230,471,684/33,974
6. Step 6: Final answer
   x = 153,955.13