Finding the Third Proportional to 13,083 and 19,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,083 : 19,039.50 = 19,039.50 : x
2. Step 2: Convert to fraction form
   13,083/19,039.50 = 19,039.50/x
3. Step 3: Cross multiply
   13,083x = 19,039.50 × 19,039.50
4. Step 4: Simplify right side
   13,083x = 362,502,560.25
5. Step 5: Solve for x
   x = 362,502,560.25/13,083
6. Step 6: Final answer
   x = 27,707.91