Finding the Third Proportional to 10,642 and 23,090

Step by Step Solution

1. Step 1: Write the proportion equation
   10,642 : 23,090 = 23,090 : x
2. Step 2: Convert to fraction form
   10,642/23,090 = 23,090/x
3. Step 3: Cross multiply
   10,642x = 23,090 × 23,090
4. Step 4: Simplify right side
   10,642x = 533,148,100
5. Step 5: Solve for x
   x = 533,148,100/10,642
6. Step 6: Final answer
   x = 50,098.49