Finding the Third Proportional to 10,348 and 21,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,348 : 21,633.50 = 21,633.50 : x
2. Step 2: Convert to fraction form
   10,348/21,633.50 = 21,633.50/x
3. Step 3: Cross multiply
   10,348x = 21,633.50 × 21,633.50
4. Step 4: Simplify right side
   10,348x = 468,008,322.25
5. Step 5: Solve for x
   x = 468,008,322.25/10,348
6. Step 6: Final answer
   x = 45,226.93