Finding the Third Proportional to 22,776 and 34,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,776 : 34,624.50 = 34,624.50 : x
2. Step 2: Convert to fraction form
   22,776/34,624.50 = 34,624.50/x
3. Step 3: Cross multiply
   22,776x = 34,624.50 × 34,624.50
4. Step 4: Simplify right side
   22,776x = 1,198,856,000.25
5. Step 5: Solve for x
   x = 1,198,856,000.25/22,776
6. Step 6: Final answer
   x = 52,636.81