Finding the Third Proportional to 14,586.75 and 21,416.06

Step by Step Solution

1. Step 1: Write the proportion equation
   14,586.75 : 21,416.06 = 21,416.06 : x
2. Step 2: Convert to fraction form
   14,586.75/21,416.06 = 21,416.06/x
3. Step 3: Cross multiply
   14,586.75x = 21,416.06 × 21,416.06
4. Step 4: Simplify right side
   14,586.75x = 458,647,733.00
5. Step 5: Solve for x
   x = 458,647,733.00/14,586.75
6. Step 6: Final answer
   x = 31,442.76