Finding the Third Proportional to 4,646.81 and 7,108.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,646.81 : 7,108.88 = 7,108.88 : x
2. Step 2: Convert to fraction form
   4,646.81/7,108.88 = 7,108.88/x
3. Step 3: Cross multiply
   4,646.81x = 7,108.88 × 7,108.88
4. Step 4: Simplify right side
   4,646.81x = 50,536,103.77
5. Step 5: Solve for x
   x = 50,536,103.77/4,646.81
6. Step 6: Final answer
   x = 10,875.43