Finding the Third Proportional to 11,971.50 and 24,539.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,971.50 : 24,539.25 = 24,539.25 : x
2. Step 2: Convert to fraction form
   11,971.50/24,539.25 = 24,539.25/x
3. Step 3: Cross multiply
   11,971.50x = 24,539.25 × 24,539.25
4. Step 4: Simplify right side
   11,971.50x = 602,174,790.56
5. Step 5: Solve for x
   x = 602,174,790.56/11,971.50
6. Step 6: Final answer
   x = 50,300.70