Finding the Third Proportional to 19,527.75 and 38,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,527.75 : 38,083.50 = 38,083.50 : x
2. Step 2: Convert to fraction form
   19,527.75/38,083.50 = 38,083.50/x
3. Step 3: Cross multiply
   19,527.75x = 38,083.50 × 38,083.50
4. Step 4: Simplify right side
   19,527.75x = 1,450,352,972.25
5. Step 5: Solve for x
   x = 1,450,352,972.25/19,527.75
6. Step 6: Final answer
   x = 74,271.38