Finding the Third Proportional to 1,946.63 and 2,911.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,946.63 : 2,911.88 = 2,911.88 : x
2. Step 2: Convert to fraction form
   1,946.63/2,911.88 = 2,911.88/x
3. Step 3: Cross multiply
   1,946.63x = 2,911.88 × 2,911.88
4. Step 4: Simplify right side
   1,946.63x = 8,479,016.02
5. Step 5: Solve for x
   x = 8,479,016.02/1,946.63
6. Step 6: Final answer
   x = 4,355.75