Finding the Third Proportional to 10,532.25 and 14,178.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,532.25 : 14,178.38 = 14,178.38 : x
2. Step 2: Convert to fraction form
   10,532.25/14,178.38 = 14,178.38/x
3. Step 3: Cross multiply
   10,532.25x = 14,178.38 × 14,178.38
4. Step 4: Simplify right side
   10,532.25x = 201,026,317.64
5. Step 5: Solve for x
   x = 201,026,317.64/10,532.25
6. Step 6: Final answer
   x = 19,086.74