Finding the Third Proportional to 1,516.75 and 2,411.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,516.75 : 2,411.88 = 2,411.88 : x
2. Step 2: Convert to fraction form
   1,516.75/2,411.88 = 2,411.88/x
3. Step 3: Cross multiply
   1,516.75x = 2,411.88 × 2,411.88
4. Step 4: Simplify right side
   1,516.75x = 5,817,141.02
5. Step 5: Solve for x
   x = 5,817,141.02/1,516.75
6. Step 6: Final answer
   x = 3,835.27