Finding the Third Proportional to 22,584 and 52,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,584 : 52,756.50 = 52,756.50 : x
2. Step 2: Convert to fraction form
   22,584/52,756.50 = 52,756.50/x
3. Step 3: Cross multiply
   22,584x = 52,756.50 × 52,756.50
4. Step 4: Simplify right side
   22,584x = 2,783,248,292.25
5. Step 5: Solve for x
   x = 2,783,248,292.25/22,584
6. Step 6: Final answer
   x = 123,239.83