Finding the Third Proportional to 10,149 and 23,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,149 : 23,713.50 = 23,713.50 : x
2. Step 2: Convert to fraction form
   10,149/23,713.50 = 23,713.50/x
3. Step 3: Cross multiply
   10,149x = 23,713.50 × 23,713.50
4. Step 4: Simplify right side
   10,149x = 562,330,082.25
5. Step 5: Solve for x
   x = 562,330,082.25/10,149
6. Step 6: Final answer
   x = 55,407.44