Finding the Third Proportional to 1,736.63 and 3,667.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,736.63 : 3,667.13 = 3,667.13 : x
2. Step 2: Convert to fraction form
   1,736.63/3,667.13 = 3,667.13/x
3. Step 3: Cross multiply
   1,736.63x = 3,667.13 × 3,667.13
4. Step 4: Simplify right side
   1,736.63x = 13,447,805.77
5. Step 5: Solve for x
   x = 13,447,805.77/1,736.63
6. Step 6: Final answer
   x = 7,743.64