Finding the Third Proportional to 13,138 and 19,843.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,138 : 19,843.50 = 19,843.50 : x
2. Step 2: Convert to fraction form
   13,138/19,843.50 = 19,843.50/x
3. Step 3: Cross multiply
   13,138x = 19,843.50 × 19,843.50
4. Step 4: Simplify right side
   13,138x = 393,764,492.25
5. Step 5: Solve for x
   x = 393,764,492.25/13,138
6. Step 6: Final answer
   x = 29,971.42