Finding the Third Proportional to 1,769.98 and 2,731.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,769.98 : 2,731.22 = 2,731.22 : x
2. Step 2: Convert to fraction form
   1,769.98/2,731.22 = 2,731.22/x
3. Step 3: Cross multiply
   1,769.98x = 2,731.22 × 2,731.22
4. Step 4: Simplify right side
   1,769.98x = 7,459,555.86
5. Step 5: Solve for x
   x = 7,459,555.86/1,769.98
6. Step 6: Final answer
   x = 4,214.49