Finding the Third Proportional to 10,374 and 13,981.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,374 : 13,981.50 = 13,981.50 : x
2. Step 2: Convert to fraction form
   10,374/13,981.50 = 13,981.50/x
3. Step 3: Cross multiply
   10,374x = 13,981.50 × 13,981.50
4. Step 4: Simplify right side
   10,374x = 195,482,342.25
5. Step 5: Solve for x
   x = 195,482,342.25/10,374
6. Step 6: Final answer
   x = 18,843.49