Finding the Third Proportional to 1,495.69 and 2,741.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,495.69 : 2,741.63 = 2,741.63 : x
2. Step 2: Convert to fraction form
   1,495.69/2,741.63 = 2,741.63/x
3. Step 3: Cross multiply
   1,495.69x = 2,741.63 × 2,741.63
4. Step 4: Simplify right side
   1,495.69x = 7,516,507.64
5. Step 5: Solve for x
   x = 7,516,507.64/1,495.69
6. Step 6: Final answer
   x = 5,025.45