Finding the Third Proportional to 12,853 and 19,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,853 : 19,172.50 = 19,172.50 : x
2. Step 2: Convert to fraction form
   12,853/19,172.50 = 19,172.50/x
3. Step 3: Cross multiply
   12,853x = 19,172.50 × 19,172.50
4. Step 4: Simplify right side
   12,853x = 367,584,756.25
5. Step 5: Solve for x
   x = 367,584,756.25/12,853
6. Step 6: Final answer
   x = 28,599.14