Finding the Third Proportional to 13,764 and 30,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,764 : 30,166.50 = 30,166.50 : x
2. Step 2: Convert to fraction form
   13,764/30,166.50 = 30,166.50/x
3. Step 3: Cross multiply
   13,764x = 30,166.50 × 30,166.50
4. Step 4: Simplify right side
   13,764x = 910,017,722.25
5. Step 5: Solve for x
   x = 910,017,722.25/13,764
6. Step 6: Final answer
   x = 66,115.79