Finding the Third Proportional to 12,149 and 19,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,149 : 19,838.50 = 19,838.50 : x
2. Step 2: Convert to fraction form
   12,149/19,838.50 = 19,838.50/x
3. Step 3: Cross multiply
   12,149x = 19,838.50 × 19,838.50
4. Step 4: Simplify right side
   12,149x = 393,566,082.25
5. Step 5: Solve for x
   x = 393,566,082.25/12,149
6. Step 6: Final answer
   x = 32,394.94