Finding the Third Proportional to 13,050 and 19,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,050 : 19,696.50 = 19,696.50 : x
2. Step 2: Convert to fraction form
   13,050/19,696.50 = 19,696.50/x
3. Step 3: Cross multiply
   13,050x = 19,696.50 × 19,696.50
4. Step 4: Simplify right side
   13,050x = 387,952,112.25
5. Step 5: Solve for x
   x = 387,952,112.25/13,050
6. Step 6: Final answer
   x = 29,728.13