Finding the Third Proportional to 12,864 and 19,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,864 : 19,432.50 = 19,432.50 : x
2. Step 2: Convert to fraction form
   12,864/19,432.50 = 19,432.50/x
3. Step 3: Cross multiply
   12,864x = 19,432.50 × 19,432.50
4. Step 4: Simplify right side
   12,864x = 377,622,056.25
5. Step 5: Solve for x
   x = 377,622,056.25/12,864
6. Step 6: Final answer
   x = 29,354.95