Finding the Third Proportional to 2,080.76 and 4,457.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,080.76 : 4,457.67 = 4,457.67 : x
2. Step 2: Convert to fraction form
   2,080.76/4,457.67 = 4,457.67/x
3. Step 3: Cross multiply
   2,080.76x = 4,457.67 × 4,457.67
4. Step 4: Simplify right side
   2,080.76x = 19,870,838.55
5. Step 5: Solve for x
   x = 19,870,838.55/2,080.76
6. Step 6: Final answer
   x = 9,549.81