Finding the Third Proportional to 1,523.63 and 3,338.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,523.63 : 3,338.06 = 3,338.06 : x
2. Step 2: Convert to fraction form
   1,523.63/3,338.06 = 3,338.06/x
3. Step 3: Cross multiply
   1,523.63x = 3,338.06 × 3,338.06
4. Step 4: Simplify right side
   1,523.63x = 11,142,661.25
5. Step 5: Solve for x
   x = 11,142,661.25/1,523.63
6. Step 6: Final answer
   x = 7,313.26