Finding the Third Proportional to 4,588 and 10,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,588 : 10,055.50 = 10,055.50 : x
2. Step 2: Convert to fraction form
   4,588/10,055.50 = 10,055.50/x
3. Step 3: Cross multiply
   4,588x = 10,055.50 × 10,055.50
4. Step 4: Simplify right side
   4,588x = 101,113,080.25
5. Step 5: Solve for x
   x = 101,113,080.25/4,588
6. Step 6: Final answer
   x = 22,038.60