Finding the Third Proportional to 1,746.56 and 2,516.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,746.56 : 2,516.91 = 2,516.91 : x
2. Step 2: Convert to fraction form
   1,746.56/2,516.91 = 2,516.91/x
3. Step 3: Cross multiply
   1,746.56x = 2,516.91 × 2,516.91
4. Step 4: Simplify right side
   1,746.56x = 6,334,817.07
5. Step 5: Solve for x
   x = 6,334,817.07/1,746.56
6. Step 6: Final answer
   x = 3,627.02