Finding the Third Proportional to 4,997.64 and 10,254.77

Step by Step Solution

1. Step 1: Write the proportion equation
   4,997.64 : 10,254.77 = 10,254.77 : x
2. Step 2: Convert to fraction form
   4,997.64/10,254.77 = 10,254.77/x
3. Step 3: Cross multiply
   4,997.64x = 10,254.77 × 10,254.77
4. Step 4: Simplify right side
   4,997.64x = 105,160,228.04
5. Step 5: Solve for x
   x = 105,160,228.04/4,997.64
6. Step 6: Final answer
   x = 21,041.99