Finding the Third Proportional to 2,152.69 and 4,649.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.69 : 4,649.63 = 4,649.63 : x
2. Step 2: Convert to fraction form
   2,152.69/4,649.63 = 4,649.63/x
3. Step 3: Cross multiply
   2,152.69x = 4,649.63 × 4,649.63
4. Step 4: Simplify right side
   2,152.69x = 21,619,012.64
5. Step 5: Solve for x
   x = 21,619,012.64/2,152.69
6. Step 6: Final answer
   x = 10,042.80