Finding the Third Proportional to 33,184 and 72,584

Step by Step Solution

1. Step 1: Write the proportion equation
   33,184 : 72,584 = 72,584 : x
2. Step 2: Convert to fraction form
   33,184/72,584 = 72,584/x
3. Step 3: Cross multiply
   33,184x = 72,584 × 72,584
4. Step 4: Simplify right side
   33,184x = 5,268,437,056
5. Step 5: Solve for x
   x = 5,268,437,056/33,184
6. Step 6: Final answer
   x = 158,764.38