Finding the Third Proportional to 1,184.06 and 1,776.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,184.06 : 1,776.13 = 1,776.13 : x
2. Step 2: Convert to fraction form
   1,184.06/1,776.13 = 1,776.13/x
3. Step 3: Cross multiply
   1,184.06x = 1,776.13 × 1,776.13
4. Step 4: Simplify right side
   1,184.06x = 3,154,620.02
5. Step 5: Solve for x
   x = 3,154,620.02/1,184.06
6. Step 6: Final answer
   x = 2,664.23