Finding the Third Proportional to 10,378.13 and 22,118.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.13 : 22,118.06 = 22,118.06 : x
2. Step 2: Convert to fraction form
   10,378.13/22,118.06 = 22,118.06/x
3. Step 3: Cross multiply
   10,378.13x = 22,118.06 × 22,118.06
4. Step 4: Simplify right side
   10,378.13x = 489,208,688.75
5. Step 5: Solve for x
   x = 489,208,688.75/10,378.13
6. Step 6: Final answer
   x = 47,138.45