Finding the Third Proportional to 10,686 and 17,068.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686 : 17,068.50 = 17,068.50 : x
2. Step 2: Convert to fraction form
   10,686/17,068.50 = 17,068.50/x
3. Step 3: Cross multiply
   10,686x = 17,068.50 × 17,068.50
4. Step 4: Simplify right side
   10,686x = 291,333,692.25
5. Step 5: Solve for x
   x = 291,333,692.25/10,686
6. Step 6: Final answer
   x = 27,263.12