Finding the Third Proportional to 13,136 and 15,566

Step by Step Solution

1. Step 1: Write the proportion equation
   13,136 : 15,566 = 15,566 : x
2. Step 2: Convert to fraction form
   13,136/15,566 = 15,566/x
3. Step 3: Cross multiply
   13,136x = 15,566 × 15,566
4. Step 4: Simplify right side
   13,136x = 242,300,356
5. Step 5: Solve for x
   x = 242,300,356/13,136
6. Step 6: Final answer
   x = 18,445.52