Finding the Third Proportional to 12,835 and 19,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,835 : 19,199.50 = 19,199.50 : x
2. Step 2: Convert to fraction form
   12,835/19,199.50 = 19,199.50/x
3. Step 3: Cross multiply
   12,835x = 19,199.50 × 19,199.50
4. Step 4: Simplify right side
   12,835x = 368,620,800.25
5. Step 5: Solve for x
   x = 368,620,800.25/12,835
6. Step 6: Final answer
   x = 28,719.97