Finding the Third Proportional to 10,092 and 14,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092 : 14,536.50 = 14,536.50 : x
2. Step 2: Convert to fraction form
   10,092/14,536.50 = 14,536.50/x
3. Step 3: Cross multiply
   10,092x = 14,536.50 × 14,536.50
4. Step 4: Simplify right side
   10,092x = 211,309,832.25
5. Step 5: Solve for x
   x = 211,309,832.25/10,092
6. Step 6: Final answer
   x = 20,938.35