Finding the Third Proportional to 13,663 and 19,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,663 : 19,746.50 = 19,746.50 : x
2. Step 2: Convert to fraction form
   13,663/19,746.50 = 19,746.50/x
3. Step 3: Cross multiply
   13,663x = 19,746.50 × 19,746.50
4. Step 4: Simplify right side
   13,663x = 389,924,262.25
5. Step 5: Solve for x
   x = 389,924,262.25/13,663
6. Step 6: Final answer
   x = 28,538.70