Finding the Third Proportional to 1,736.63 and 2,761.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,736.63 : 2,761.88 = 2,761.88 : x
2. Step 2: Convert to fraction form
   1,736.63/2,761.88 = 2,761.88/x
3. Step 3: Cross multiply
   1,736.63x = 2,761.88 × 2,761.88
4. Step 4: Simplify right side
   1,736.63x = 7,627,953.52
5. Step 5: Solve for x
   x = 7,627,953.52/1,736.63
6. Step 6: Final answer
   x = 4,392.40