Finding the Third Proportional to 12,069 and 13,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,069 : 13,648.50 = 13,648.50 : x
2. Step 2: Convert to fraction form
   12,069/13,648.50 = 13,648.50/x
3. Step 3: Cross multiply
   12,069x = 13,648.50 × 13,648.50
4. Step 4: Simplify right side
   12,069x = 186,281,552.25
5. Step 5: Solve for x
   x = 186,281,552.25/12,069
6. Step 6: Final answer
   x = 15,434.71