Finding the Third Proportional to 10,090.50 and 14,141

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090.50 : 14,141 = 14,141 : x
2. Step 2: Convert to fraction form
   10,090.50/14,141 = 14,141/x
3. Step 3: Cross multiply
   10,090.50x = 14,141 × 14,141
4. Step 4: Simplify right side
   10,090.50x = 199,967,881
5. Step 5: Solve for x
   x = 199,967,881/10,090.50
6. Step 6: Final answer
   x = 19,817.44