Finding the Third Proportional to 10,463.50 and 23,000.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,463.50 : 23,000.50 = 23,000.50 : x
2. Step 2: Convert to fraction form
   10,463.50/23,000.50 = 23,000.50/x
3. Step 3: Cross multiply
   10,463.50x = 23,000.50 × 23,000.50
4. Step 4: Simplify right side
   10,463.50x = 529,023,000.25
5. Step 5: Solve for x
   x = 529,023,000.25/10,463.50
6. Step 6: Final answer
   x = 50,558.90