Finding the Third Proportional to 1,894.64 and 4,152.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,894.64 : 4,152.83 = 4,152.83 : x
2. Step 2: Convert to fraction form
   1,894.64/4,152.83 = 4,152.83/x
3. Step 3: Cross multiply
   1,894.64x = 4,152.83 × 4,152.83
4. Step 4: Simplify right side
   1,894.64x = 17,246,013.88
5. Step 5: Solve for x
   x = 17,246,013.88/1,894.64
6. Step 6: Final answer
   x = 9,102.53