Finding the Third Proportional to 9,814.50 and 13,547.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.50 : 13,547.25 = 13,547.25 : x
2. Step 2: Convert to fraction form
   9,814.50/13,547.25 = 13,547.25/x
3. Step 3: Cross multiply
   9,814.50x = 13,547.25 × 13,547.25
4. Step 4: Simplify right side
   9,814.50x = 183,527,982.56
5. Step 5: Solve for x
   x = 183,527,982.56/9,814.50
6. Step 6: Final answer
   x = 18,699.68