Finding the Third Proportional to 10,199.50 and 22,586

Step by Step Solution

1. Step 1: Write the proportion equation
   10,199.50 : 22,586 = 22,586 : x
2. Step 2: Convert to fraction form
   10,199.50/22,586 = 22,586/x
3. Step 3: Cross multiply
   10,199.50x = 22,586 × 22,586
4. Step 4: Simplify right side
   10,199.50x = 510,127,396
5. Step 5: Solve for x
   x = 510,127,396/10,199.50
6. Step 6: Final answer
   x = 50,014.94