Finding the Third Proportional to 2,166 and 4,606.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,166 : 4,606.50 = 4,606.50 : x
2. Step 2: Convert to fraction form
   2,166/4,606.50 = 4,606.50/x
3. Step 3: Cross multiply
   2,166x = 4,606.50 × 4,606.50
4. Step 4: Simplify right side
   2,166x = 21,219,842.25
5. Step 5: Solve for x
   x = 21,219,842.25/2,166
6. Step 6: Final answer
   x = 9,796.79