Finding the Third Proportional to 37,225 and 78,590

Step by Step Solution

1. Step 1: Write the proportion equation
   37,225 : 78,590 = 78,590 : x
2. Step 2: Convert to fraction form
   37,225/78,590 = 78,590/x
3. Step 3: Cross multiply
   37,225x = 78,590 × 78,590
4. Step 4: Simplify right side
   37,225x = 6,176,388,100
5. Step 5: Solve for x
   x = 6,176,388,100/37,225
6. Step 6: Final answer
   x = 165,920.43