Finding the Third Proportional to 10,577.25 and 14,784.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,577.25 : 14,784.75 = 14,784.75 : x
2. Step 2: Convert to fraction form
   10,577.25/14,784.75 = 14,784.75/x
3. Step 3: Cross multiply
   10,577.25x = 14,784.75 × 14,784.75
4. Step 4: Simplify right side
   10,577.25x = 218,588,832.56
5. Step 5: Solve for x
   x = 218,588,832.56/10,577.25
6. Step 6: Final answer
   x = 20,665.94