Finding the Third Proportional to 10,706.06 and 22,566.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,706.06 : 22,566.38 = 22,566.38 : x
2. Step 2: Convert to fraction form
   10,706.06/22,566.38 = 22,566.38/x
3. Step 3: Cross multiply
   10,706.06x = 22,566.38 × 22,566.38
4. Step 4: Simplify right side
   10,706.06x = 509,241,280.64
5. Step 5: Solve for x
   x = 509,241,280.64/10,706.06
6. Step 6: Final answer
   x = 47,565.69