Finding the Third Proportional to 10,623 and 23,343.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,623 : 23,343.50 = 23,343.50 : x
2. Step 2: Convert to fraction form
   10,623/23,343.50 = 23,343.50/x
3. Step 3: Cross multiply
   10,623x = 23,343.50 × 23,343.50
4. Step 4: Simplify right side
   10,623x = 544,918,992.25
5. Step 5: Solve for x
   x = 544,918,992.25/10,623
6. Step 6: Final answer
   x = 51,296.15