Finding the Third Proportional to 10,543.50 and 18,164.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,543.50 : 18,164.25 = 18,164.25 : x
2. Step 2: Convert to fraction form
   10,543.50/18,164.25 = 18,164.25/x
3. Step 3: Cross multiply
   10,543.50x = 18,164.25 × 18,164.25
4. Step 4: Simplify right side
   10,543.50x = 329,939,978.06
5. Step 5: Solve for x
   x = 329,939,978.06/10,543.50
6. Step 6: Final answer
   x = 31,293.21