Finding the Third Proportional to 23,777 and 35,590

Step by Step Solution

1. Step 1: Write the proportion equation
   23,777 : 35,590 = 35,590 : x
2. Step 2: Convert to fraction form
   23,777/35,590 = 35,590/x
3. Step 3: Cross multiply
   23,777x = 35,590 × 35,590
4. Step 4: Simplify right side
   23,777x = 1,266,648,100
5. Step 5: Solve for x
   x = 1,266,648,100/23,777
6. Step 6: Final answer
   x = 53,271.99