Finding the Third Proportional to 10,624.50 and 19,892.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624.50 : 19,892.25 = 19,892.25 : x
2. Step 2: Convert to fraction form
   10,624.50/19,892.25 = 19,892.25/x
3. Step 3: Cross multiply
   10,624.50x = 19,892.25 × 19,892.25
4. Step 4: Simplify right side
   10,624.50x = 395,701,610.06
5. Step 5: Solve for x
   x = 395,701,610.06/10,624.50
6. Step 6: Final answer
   x = 37,244.26