Finding the Third Proportional to 34,668 and 55,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,668 : 55,102.50 = 55,102.50 : x
2. Step 2: Convert to fraction form
   34,668/55,102.50 = 55,102.50/x
3. Step 3: Cross multiply
   34,668x = 55,102.50 × 55,102.50
4. Step 4: Simplify right side
   34,668x = 3,036,285,506.25
5. Step 5: Solve for x
   x = 3,036,285,506.25/34,668
6. Step 6: Final answer
   x = 87,581.79