Finding the Third Proportional to 10,634 and 21,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,634 : 21,699.50 = 21,699.50 : x
2. Step 2: Convert to fraction form
   10,634/21,699.50 = 21,699.50/x
3. Step 3: Cross multiply
   10,634x = 21,699.50 × 21,699.50
4. Step 4: Simplify right side
   10,634x = 470,868,300.25
5. Step 5: Solve for x
   x = 470,868,300.25/10,634
6. Step 6: Final answer
   x = 44,279.51