Finding the Third Proportional to 2,012.63 and 4,370.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,012.63 : 4,370.06 = 4,370.06 : x
2. Step 2: Convert to fraction form
   2,012.63/4,370.06 = 4,370.06/x
3. Step 3: Cross multiply
   2,012.63x = 4,370.06 × 4,370.06
4. Step 4: Simplify right side
   2,012.63x = 19,097,446.25
5. Step 5: Solve for x
   x = 19,097,446.25/2,012.63
6. Step 6: Final answer
   x = 9,488.82