Finding the Third Proportional to 10,585.75 and 22,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.75 : 22,577.50 = 22,577.50 : x
2. Step 2: Convert to fraction form
   10,585.75/22,577.50 = 22,577.50/x
3. Step 3: Cross multiply
   10,585.75x = 22,577.50 × 22,577.50
4. Step 4: Simplify right side
   10,585.75x = 509,743,506.25
5. Step 5: Solve for x
   x = 509,743,506.25/10,585.75
6. Step 6: Final answer
   x = 48,153.75