Finding the Third Proportional to 1,769.34 and 3,774.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,769.34 : 3,774.09 = 3,774.09 : x
2. Step 2: Convert to fraction form
   1,769.34/3,774.09 = 3,774.09/x
3. Step 3: Cross multiply
   1,769.34x = 3,774.09 × 3,774.09
4. Step 4: Simplify right side
   1,769.34x = 14,243,783.63
5. Step 5: Solve for x
   x = 14,243,783.63/1,769.34
6. Step 6: Final answer
   x = 8,050.32