Finding the Third Proportional to 10,522.50 and 11,454

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522.50 : 11,454 = 11,454 : x
2. Step 2: Convert to fraction form
   10,522.50/11,454 = 11,454/x
3. Step 3: Cross multiply
   10,522.50x = 11,454 × 11,454
4. Step 4: Simplify right side
   10,522.50x = 131,194,116
5. Step 5: Solve for x
   x = 131,194,116/10,522.50
6. Step 6: Final answer
   x = 12,467.96