Finding the Third Proportional to 13,177.69 and 14,180.06

Step by Step Solution

1. Step 1: Write the proportion equation
   13,177.69 : 14,180.06 = 14,180.06 : x
2. Step 2: Convert to fraction form
   13,177.69/14,180.06 = 14,180.06/x
3. Step 3: Cross multiply
   13,177.69x = 14,180.06 × 14,180.06
4. Step 4: Simplify right side
   13,177.69x = 201,074,172.50
5. Step 5: Solve for x
   x = 201,074,172.50/13,177.69
6. Step 6: Final answer
   x = 15,258.68