Finding the Third Proportional to 21,780.75 and 32,585.63

Step by Step Solution

1. Step 1: Write the proportion equation
   21,780.75 : 32,585.63 = 32,585.63 : x
2. Step 2: Convert to fraction form
   21,780.75/32,585.63 = 32,585.63/x
3. Step 3: Cross multiply
   21,780.75x = 32,585.63 × 32,585.63
4. Step 4: Simplify right side
   21,780.75x = 1,061,822,956.64
5. Step 5: Solve for x
   x = 1,061,822,956.64/21,780.75
6. Step 6: Final answer
   x = 48,750.52