Finding the Third Proportional to 1,762.88 and 2,725.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,762.88 : 2,725.31 = 2,725.31 : x
2. Step 2: Convert to fraction form
   1,762.88/2,725.31 = 2,725.31/x
3. Step 3: Cross multiply
   1,762.88x = 2,725.31 × 2,725.31
4. Step 4: Simplify right side
   1,762.88x = 7,427,328.22
5. Step 5: Solve for x
   x = 7,427,328.22/1,762.88
6. Step 6: Final answer
   x = 4,213.19