Finding the Third Proportional to 19,629 and 38,245.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,629 : 38,245.50 = 38,245.50 : x
2. Step 2: Convert to fraction form
   19,629/38,245.50 = 38,245.50/x
3. Step 3: Cross multiply
   19,629x = 38,245.50 × 38,245.50
4. Step 4: Simplify right side
   19,629x = 1,462,718,270.25
5. Step 5: Solve for x
   x = 1,462,718,270.25/19,629
6. Step 6: Final answer
   x = 74,518.23