Finding the Third Proportional to 10,026.50 and 21,692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.50 : 21,692.50 = 21,692.50 : x
2. Step 2: Convert to fraction form
   10,026.50/21,692.50 = 21,692.50/x
3. Step 3: Cross multiply
   10,026.50x = 21,692.50 × 21,692.50
4. Step 4: Simplify right side
   10,026.50x = 470,564,556.25
5. Step 5: Solve for x
   x = 470,564,556.25/10,026.50
6. Step 6: Final answer
   x = 46,932.09