Finding the Third Proportional to 2,296.69 and 4,973.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,296.69 : 4,973.06 = 4,973.06 : x
2. Step 2: Convert to fraction form
   2,296.69/4,973.06 = 4,973.06/x
3. Step 3: Cross multiply
   2,296.69x = 4,973.06 × 4,973.06
4. Step 4: Simplify right side
   2,296.69x = 24,731,350.63
5. Step 5: Solve for x
   x = 24,731,350.63/2,296.69
6. Step 6: Final answer
   x = 10,768.27