Finding the Third Proportional to 10,683.56 and 23,005.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,683.56 : 23,005.69 = 23,005.69 : x
2. Step 2: Convert to fraction form
   10,683.56/23,005.69 = 23,005.69/x
3. Step 3: Cross multiply
   10,683.56x = 23,005.69 × 23,005.69
4. Step 4: Simplify right side
   10,683.56x = 529,261,657.35
5. Step 5: Solve for x
   x = 529,261,657.35/10,683.56
6. Step 6: Final answer
   x = 49,539.81