Finding the Third Proportional to 10,178 and 20,859.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178 : 20,859.50 = 20,859.50 : x
2. Step 2: Convert to fraction form
   10,178/20,859.50 = 20,859.50/x
3. Step 3: Cross multiply
   10,178x = 20,859.50 × 20,859.50
4. Step 4: Simplify right side
   10,178x = 435,118,740.25
5. Step 5: Solve for x
   x = 435,118,740.25/10,178
6. Step 6: Final answer
   x = 42,750.91