Finding the Third Proportional to 1,769.63 and 3,753.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,769.63 : 3,753.56 = 3,753.56 : x
2. Step 2: Convert to fraction form
   1,769.63/3,753.56 = 3,753.56/x
3. Step 3: Cross multiply
   1,769.63x = 3,753.56 × 3,753.56
4. Step 4: Simplify right side
   1,769.63x = 14,089,231.44
5. Step 5: Solve for x
   x = 14,089,231.44/1,769.63
6. Step 6: Final answer
   x = 7,961.70