Finding the Third Proportional to 13,136.50 and 15,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,136.50 : 15,566.50 = 15,566.50 : x
2. Step 2: Convert to fraction form
   13,136.50/15,566.50 = 15,566.50/x
3. Step 3: Cross multiply
   13,136.50x = 15,566.50 × 15,566.50
4. Step 4: Simplify right side
   13,136.50x = 242,315,922.25
5. Step 5: Solve for x
   x = 242,315,922.25/13,136.50
6. Step 6: Final answer
   x = 18,446.00