Finding the Third Proportional to 10,146 and 21,692.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146 : 21,692.25 = 21,692.25 : x
2. Step 2: Convert to fraction form
   10,146/21,692.25 = 21,692.25/x
3. Step 3: Cross multiply
   10,146x = 21,692.25 × 21,692.25
4. Step 4: Simplify right side
   10,146x = 470,553,710.06
5. Step 5: Solve for x
   x = 470,553,710.06/10,146
6. Step 6: Final answer
   x = 46,378.25