Finding the Third Proportional to 2,302.69 and 4,967.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,302.69 : 4,967.06 = 4,967.06 : x
2. Step 2: Convert to fraction form
   2,302.69/4,967.06 = 4,967.06/x
3. Step 3: Cross multiply
   2,302.69x = 4,967.06 × 4,967.06
4. Step 4: Simplify right side
   2,302.69x = 24,671,709.88
5. Step 5: Solve for x
   x = 24,671,709.88/2,302.69
6. Step 6: Final answer
   x = 10,714.31