Finding the Third Proportional to 10,461 and 12,121.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461 : 12,121.50 = 12,121.50 : x
2. Step 2: Convert to fraction form
   10,461/12,121.50 = 12,121.50/x
3. Step 3: Cross multiply
   10,461x = 12,121.50 × 12,121.50
4. Step 4: Simplify right side
   10,461x = 146,930,762.25
5. Step 5: Solve for x
   x = 146,930,762.25/10,461
6. Step 6: Final answer
   x = 14,045.58