Finding the Third Proportional to 6,166 and 13,483.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,166 : 13,483.50 = 13,483.50 : x
2. Step 2: Convert to fraction form
   6,166/13,483.50 = 13,483.50/x
3. Step 3: Cross multiply
   6,166x = 13,483.50 × 13,483.50
4. Step 4: Simplify right side
   6,166x = 181,804,772.25
5. Step 5: Solve for x
   x = 181,804,772.25/6,166
6. Step 6: Final answer
   x = 29,485.04