Finding the Third Proportional to 11,527.50 and 23,515.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,527.50 : 23,515.50 = 23,515.50 : x
2. Step 2: Convert to fraction form
   11,527.50/23,515.50 = 23,515.50/x
3. Step 3: Cross multiply
   11,527.50x = 23,515.50 × 23,515.50
4. Step 4: Simplify right side
   11,527.50x = 552,978,740.25
5. Step 5: Solve for x
   x = 552,978,740.25/11,527.50
6. Step 6: Final answer
   x = 47,970.40