Finding the Third Proportional to 13,146 and 19,840.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,146 : 19,840.50 = 19,840.50 : x
2. Step 2: Convert to fraction form
   13,146/19,840.50 = 19,840.50/x
3. Step 3: Cross multiply
   13,146x = 19,840.50 × 19,840.50
4. Step 4: Simplify right side
   13,146x = 393,645,440.25
5. Step 5: Solve for x
   x = 393,645,440.25/13,146
6. Step 6: Final answer
   x = 29,944.12