Finding the Third Proportional to 19,128 and 25,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,128 : 25,654.50 = 25,654.50 : x
2. Step 2: Convert to fraction form
   19,128/25,654.50 = 25,654.50/x
3. Step 3: Cross multiply
   19,128x = 25,654.50 × 25,654.50
4. Step 4: Simplify right side
   19,128x = 658,153,370.25
5. Step 5: Solve for x
   x = 658,153,370.25/19,128
6. Step 6: Final answer
   x = 34,407.85