Finding the Third Proportional to 35,898 and 73,590

Step by Step Solution

1. Step 1: Write the proportion equation
   35,898 : 73,590 = 73,590 : x
2. Step 2: Convert to fraction form
   35,898/73,590 = 73,590/x
3. Step 3: Cross multiply
   35,898x = 73,590 × 73,590
4. Step 4: Simplify right side
   35,898x = 5,415,488,100
5. Step 5: Solve for x
   x = 5,415,488,100/35,898
6. Step 6: Final answer
   x = 150,857.66