Finding the Third Proportional to 12,802.50 and 19,779.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,802.50 : 19,779.75 = 19,779.75 : x
2. Step 2: Convert to fraction form
   12,802.50/19,779.75 = 19,779.75/x
3. Step 3: Cross multiply
   12,802.50x = 19,779.75 × 19,779.75
4. Step 4: Simplify right side
   12,802.50x = 391,238,510.06
5. Step 5: Solve for x
   x = 391,238,510.06/12,802.50
6. Step 6: Final answer
   x = 30,559.54