Finding the Third Proportional to 13,666.50 and 21,730.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,666.50 : 21,730.50 = 21,730.50 : x
2. Step 2: Convert to fraction form
   13,666.50/21,730.50 = 21,730.50/x
3. Step 3: Cross multiply
   13,666.50x = 21,730.50 × 21,730.50
4. Step 4: Simplify right side
   13,666.50x = 472,214,630.25
5. Step 5: Solve for x
   x = 472,214,630.25/13,666.50
6. Step 6: Final answer
   x = 34,552.71