Finding the Third Proportional to 14,647.50 and 21,697.88

Step by Step Solution

1. Step 1: Write the proportion equation
   14,647.50 : 21,697.88 = 21,697.88 : x
2. Step 2: Convert to fraction form
   14,647.50/21,697.88 = 21,697.88/x
3. Step 3: Cross multiply
   14,647.50x = 21,697.88 × 21,697.88
4. Step 4: Simplify right side
   14,647.50x = 470,797,779.52
5. Step 5: Solve for x
   x = 470,797,779.52/14,647.50
6. Step 6: Final answer
   x = 32,141.85