Finding the Third Proportional to 10,023.75 and 14,603.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,023.75 : 14,603.63 = 14,603.63 : x
2. Step 2: Convert to fraction form
   10,023.75/14,603.63 = 14,603.63/x
3. Step 3: Cross multiply
   10,023.75x = 14,603.63 × 14,603.63
4. Step 4: Simplify right side
   10,023.75x = 213,265,863.14
5. Step 5: Solve for x
   x = 213,265,863.14/10,023.75
6. Step 6: Final answer
   x = 21,276.06