Finding the Third Proportional to 33,590 and 72,364

Step by Step Solution

1. Step 1: Write the proportion equation
   33,590 : 72,364 = 72,364 : x
2. Step 2: Convert to fraction form
   33,590/72,364 = 72,364/x
3. Step 3: Cross multiply
   33,590x = 72,364 × 72,364
4. Step 4: Simplify right side
   33,590x = 5,236,548,496
5. Step 5: Solve for x
   x = 5,236,548,496/33,590
6. Step 6: Final answer
   x = 155,896.06