Finding the Third Proportional to 5,152.50 and 10,623

Step by Step Solution

1. Step 1: Write the proportion equation
   5,152.50 : 10,623 = 10,623 : x
2. Step 2: Convert to fraction form
   5,152.50/10,623 = 10,623/x
3. Step 3: Cross multiply
   5,152.50x = 10,623 × 10,623
4. Step 4: Simplify right side
   5,152.50x = 112,848,129
5. Step 5: Solve for x
   x = 112,848,129/5,152.50
6. Step 6: Final answer
   x = 21,901.63