Finding the Third Proportional to 6,194 and 13,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,194 : 13,504.50 = 13,504.50 : x
2. Step 2: Convert to fraction form
   6,194/13,504.50 = 13,504.50/x
3. Step 3: Cross multiply
   6,194x = 13,504.50 × 13,504.50
4. Step 4: Simplify right side
   6,194x = 182,371,520.25
5. Step 5: Solve for x
   x = 182,371,520.25/6,194
6. Step 6: Final answer
   x = 29,443.25