Finding the Third Proportional to 27,679 and 57,328.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,679 : 57,328.50 = 57,328.50 : x
2. Step 2: Convert to fraction form
   27,679/57,328.50 = 57,328.50/x
3. Step 3: Cross multiply
   27,679x = 57,328.50 × 57,328.50
4. Step 4: Simplify right side
   27,679x = 3,286,556,912.25
5. Step 5: Solve for x
   x = 3,286,556,912.25/27,679
6. Step 6: Final answer
   x = 118,738.28