Finding the Third Proportional to 1,460.63 and 2,206.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.63 : 2,206.13 = 2,206.13 : x
2. Step 2: Convert to fraction form
   1,460.63/2,206.13 = 2,206.13/x
3. Step 3: Cross multiply
   1,460.63x = 2,206.13 × 2,206.13
4. Step 4: Simplify right side
   1,460.63x = 4,866,987.52
5. Step 5: Solve for x
   x = 4,866,987.52/1,460.63
6. Step 6: Final answer
   x = 3,332.13