Finding the Third Proportional to 10,537 and 22,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,537 : 22,573.50 = 22,573.50 : x
2. Step 2: Convert to fraction form
   10,537/22,573.50 = 22,573.50/x
3. Step 3: Cross multiply
   10,537x = 22,573.50 × 22,573.50
4. Step 4: Simplify right side
   10,537x = 509,562,902.25
5. Step 5: Solve for x
   x = 509,562,902.25/10,537
6. Step 6: Final answer
   x = 48,359.39