Finding the Third Proportional to 4,658 and 10,090

Step by Step Solution

1. Step 1: Write the proportion equation
   4,658 : 10,090 = 10,090 : x
2. Step 2: Convert to fraction form
   4,658/10,090 = 10,090/x
3. Step 3: Cross multiply
   4,658x = 10,090 × 10,090
4. Step 4: Simplify right side
   4,658x = 101,808,100
5. Step 5: Solve for x
   x = 101,808,100/4,658
6. Step 6: Final answer
   x = 21,856.61