Finding the Third Proportional to 10,090.50 and 14,414

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090.50 : 14,414 = 14,414 : x
2. Step 2: Convert to fraction form
   10,090.50/14,414 = 14,414/x
3. Step 3: Cross multiply
   10,090.50x = 14,414 × 14,414
4. Step 4: Simplify right side
   10,090.50x = 207,763,396
5. Step 5: Solve for x
   x = 207,763,396/10,090.50
6. Step 6: Final answer
   x = 20,590.00