Finding the Third Proportional to 12,892.50 and 19,590.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,892.50 : 19,590.75 = 19,590.75 : x
2. Step 2: Convert to fraction form
   12,892.50/19,590.75 = 19,590.75/x
3. Step 3: Cross multiply
   12,892.50x = 19,590.75 × 19,590.75
4. Step 4: Simplify right side
   12,892.50x = 383,797,485.56
5. Step 5: Solve for x
   x = 383,797,485.56/12,892.50
6. Step 6: Final answer
   x = 29,769.05