Finding the Third Proportional to 2,164.56 and 4,670.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,164.56 : 4,670.88 = 4,670.88 : x
2. Step 2: Convert to fraction form
   2,164.56/4,670.88 = 4,670.88/x
3. Step 3: Cross multiply
   2,164.56x = 4,670.88 × 4,670.88
4. Step 4: Simplify right side
   2,164.56x = 21,817,073.27
5. Step 5: Solve for x
   x = 21,817,073.27/2,164.56
6. Step 6: Final answer
   x = 10,079.21