Finding the Third Proportional to 23,679 and 51,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,679 : 51,809.50 = 51,809.50 : x
2. Step 2: Convert to fraction form
   23,679/51,809.50 = 51,809.50/x
3. Step 3: Cross multiply
   23,679x = 51,809.50 × 51,809.50
4. Step 4: Simplify right side
   23,679x = 2,684,224,290.25
5. Step 5: Solve for x
   x = 2,684,224,290.25/23,679
6. Step 6: Final answer
   x = 113,358.85