Finding the Third Proportional to 20,493 and 32,585.63

Step by Step Solution

1. Step 1: Write the proportion equation
   20,493 : 32,585.63 = 32,585.63 : x
2. Step 2: Convert to fraction form
   20,493/32,585.63 = 32,585.63/x
3. Step 3: Cross multiply
   20,493x = 32,585.63 × 32,585.63
4. Step 4: Simplify right side
   20,493x = 1,061,822,956.64
5. Step 5: Solve for x
   x = 1,061,822,956.64/20,493
6. Step 6: Final answer
   x = 51,813.93