Finding the Third Proportional to 10,780.31 and 23,459.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780.31 : 23,459.06 = 23,459.06 : x
2. Step 2: Convert to fraction form
   10,780.31/23,459.06 = 23,459.06/x
3. Step 3: Cross multiply
   10,780.31x = 23,459.06 × 23,459.06
4. Step 4: Simplify right side
   10,780.31x = 550,327,613.38
5. Step 5: Solve for x
   x = 550,327,613.38/10,780.31
6. Step 6: Final answer
   x = 51,049.32