Finding the Third Proportional to 10,677 and 14,926.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,677 : 14,926.50 = 14,926.50 : x
2. Step 2: Convert to fraction form
   10,677/14,926.50 = 14,926.50/x
3. Step 3: Cross multiply
   10,677x = 14,926.50 × 14,926.50
4. Step 4: Simplify right side
   10,677x = 222,800,402.25
5. Step 5: Solve for x
   x = 222,800,402.25/10,677
6. Step 6: Final answer
   x = 20,867.32