Finding the Third Proportional to 14,656.50 and 21,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,656.50 : 21,709.50 = 21,709.50 : x
2. Step 2: Convert to fraction form
   14,656.50/21,709.50 = 21,709.50/x
3. Step 3: Cross multiply
   14,656.50x = 21,709.50 × 21,709.50
4. Step 4: Simplify right side
   14,656.50x = 471,302,390.25
5. Step 5: Solve for x
   x = 471,302,390.25/14,656.50
6. Step 6: Final answer
   x = 32,156.54