Finding the Third Proportional to 10,592.50 and 22,805

Step by Step Solution

1. Step 1: Write the proportion equation
   10,592.50 : 22,805 = 22,805 : x
2. Step 2: Convert to fraction form
   10,592.50/22,805 = 22,805/x
3. Step 3: Cross multiply
   10,592.50x = 22,805 × 22,805
4. Step 4: Simplify right side
   10,592.50x = 520,068,025
5. Step 5: Solve for x
   x = 520,068,025/10,592.50
6. Step 6: Final answer
   x = 49,097.76