Finding the Third Proportional to 4,714.75 and 10,274.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,714.75 : 10,274.88 = 10,274.88 : x
2. Step 2: Convert to fraction form
   4,714.75/10,274.88 = 10,274.88/x
3. Step 3: Cross multiply
   4,714.75x = 10,274.88 × 10,274.88
4. Step 4: Simplify right side
   4,714.75x = 105,573,056.27
5. Step 5: Solve for x
   x = 105,573,056.27/4,714.75
6. Step 6: Final answer
   x = 22,392.08