Finding the Third Proportional to 4,749.75 and 10,201.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,749.75 : 10,201.50 = 10,201.50 : x
2. Step 2: Convert to fraction form
   4,749.75/10,201.50 = 10,201.50/x
3. Step 3: Cross multiply
   4,749.75x = 10,201.50 × 10,201.50
4. Step 4: Simplify right side
   4,749.75x = 104,070,602.25
5. Step 5: Solve for x
   x = 104,070,602.25/4,749.75
6. Step 6: Final answer
   x = 21,910.75