Finding the Third Proportional to 12,255 and 19,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,255 : 19,009.50 = 19,009.50 : x
2. Step 2: Convert to fraction form
   12,255/19,009.50 = 19,009.50/x
3. Step 3: Cross multiply
   12,255x = 19,009.50 × 19,009.50
4. Step 4: Simplify right side
   12,255x = 361,361,090.25
5. Step 5: Solve for x
   x = 361,361,090.25/12,255
6. Step 6: Final answer
   x = 29,486.83