Finding the Third Proportional to 9,274.50 and 13,557.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,274.50 : 13,557.38 = 13,557.38 : x
2. Step 2: Convert to fraction form
   9,274.50/13,557.38 = 13,557.38/x
3. Step 3: Cross multiply
   9,274.50x = 13,557.38 × 13,557.38
4. Step 4: Simplify right side
   9,274.50x = 183,802,416.89
5. Step 5: Solve for x
   x = 183,802,416.89/9,274.50
6. Step 6: Final answer
   x = 19,818.04