Finding the Third Proportional to 23,561 and 36,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,561 : 36,096.50 = 36,096.50 : x
2. Step 2: Convert to fraction form
   23,561/36,096.50 = 36,096.50/x
3. Step 3: Cross multiply
   23,561x = 36,096.50 × 36,096.50
4. Step 4: Simplify right side
   23,561x = 1,302,957,312.25
5. Step 5: Solve for x
   x = 1,302,957,312.25/23,561
6. Step 6: Final answer
   x = 55,301.44