Finding the Third Proportional to 12,870 and 19,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,870 : 19,441.50 = 19,441.50 : x
2. Step 2: Convert to fraction form
   12,870/19,441.50 = 19,441.50/x
3. Step 3: Cross multiply
   12,870x = 19,441.50 × 19,441.50
4. Step 4: Simplify right side
   12,870x = 377,971,922.25
5. Step 5: Solve for x
   x = 377,971,922.25/12,870
6. Step 6: Final answer
   x = 29,368.45