Finding the Third Proportional to 23,681 and 51,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,681 : 51,749.50 = 51,749.50 : x
2. Step 2: Convert to fraction form
   23,681/51,749.50 = 51,749.50/x
3. Step 3: Cross multiply
   23,681x = 51,749.50 × 51,749.50
4. Step 4: Simplify right side
   23,681x = 2,678,010,750.25
5. Step 5: Solve for x
   x = 2,678,010,750.25/23,681
6. Step 6: Final answer
   x = 113,086.89