Finding the Third Proportional to 4,464 and 10,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,464 : 10,066.50 = 10,066.50 : x
2. Step 2: Convert to fraction form
   4,464/10,066.50 = 10,066.50/x
3. Step 3: Cross multiply
   4,464x = 10,066.50 × 10,066.50
4. Step 4: Simplify right side
   4,464x = 101,334,422.25
5. Step 5: Solve for x
   x = 101,334,422.25/4,464
6. Step 6: Final answer
   x = 22,700.36