Finding the Third Proportional to 13,128 and 19,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,128 : 19,646.50 = 19,646.50 : x
2. Step 2: Convert to fraction form
   13,128/19,646.50 = 19,646.50/x
3. Step 3: Cross multiply
   13,128x = 19,646.50 × 19,646.50
4. Step 4: Simplify right side
   13,128x = 385,984,962.25
5. Step 5: Solve for x
   x = 385,984,962.25/13,128
6. Step 6: Final answer
   x = 29,401.66