Finding the Third Proportional to 6,692.63 and 14,577.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,692.63 : 14,577.38 = 14,577.38 : x
2. Step 2: Convert to fraction form
   6,692.63/14,577.38 = 14,577.38/x
3. Step 3: Cross multiply
   6,692.63x = 14,577.38 × 14,577.38
4. Step 4: Simplify right side
   6,692.63x = 212,499,861.89
5. Step 5: Solve for x
   x = 212,499,861.89/6,692.63
6. Step 6: Final answer
   x = 31,751.35