Finding the Third Proportional to 10,978.50 and 23,624.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.50 : 23,624.25 = 23,624.25 : x
2. Step 2: Convert to fraction form
   10,978.50/23,624.25 = 23,624.25/x
3. Step 3: Cross multiply
   10,978.50x = 23,624.25 × 23,624.25
4. Step 4: Simplify right side
   10,978.50x = 558,105,188.06
5. Step 5: Solve for x
   x = 558,105,188.06/10,978.50
6. Step 6: Final answer
   x = 50,836.20