Finding the Third Proportional to 33,145 and 72,590

Step by Step Solution

1. Step 1: Write the proportion equation
   33,145 : 72,590 = 72,590 : x
2. Step 2: Convert to fraction form
   33,145/72,590 = 72,590/x
3. Step 3: Cross multiply
   33,145x = 72,590 × 72,590
4. Step 4: Simplify right side
   33,145x = 5,269,308,100
5. Step 5: Solve for x
   x = 5,269,308,100/33,145
6. Step 6: Final answer
   x = 158,977.47