Finding the Third Proportional to 10,938 and 15,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,938 : 15,799.50 = 15,799.50 : x
2. Step 2: Convert to fraction form
   10,938/15,799.50 = 15,799.50/x
3. Step 3: Cross multiply
   10,938x = 15,799.50 × 15,799.50
4. Step 4: Simplify right side
   10,938x = 249,624,200.25
5. Step 5: Solve for x
   x = 249,624,200.25/10,938
6. Step 6: Final answer
   x = 22,821.74