Finding the Third Proportional to 4,606 and 10,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,606 : 10,055.50 = 10,055.50 : x
2. Step 2: Convert to fraction form
   4,606/10,055.50 = 10,055.50/x
3. Step 3: Cross multiply
   4,606x = 10,055.50 × 10,055.50
4. Step 4: Simplify right side
   4,606x = 101,113,080.25
5. Step 5: Solve for x
   x = 101,113,080.25/4,606
6. Step 6: Final answer
   x = 21,952.47