Finding the Third Proportional to 10,680.75 and 22,592.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,680.75 : 22,592.25 = 22,592.25 : x
2. Step 2: Convert to fraction form
   10,680.75/22,592.25 = 22,592.25/x
3. Step 3: Cross multiply
   10,680.75x = 22,592.25 × 22,592.25
4. Step 4: Simplify right side
   10,680.75x = 510,409,760.06
5. Step 5: Solve for x
   x = 510,409,760.06/10,680.75
6. Step 6: Final answer
   x = 47,787.82