Finding the Third Proportional to 23,577 and 34,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,577 : 34,096.50 = 34,096.50 : x
2. Step 2: Convert to fraction form
   23,577/34,096.50 = 34,096.50/x
3. Step 3: Cross multiply
   23,577x = 34,096.50 × 34,096.50
4. Step 4: Simplify right side
   23,577x = 1,162,571,312.25
5. Step 5: Solve for x
   x = 1,162,571,312.25/23,577
6. Step 6: Final answer
   x = 49,309.55