Finding the Third Proportional to 21,178 and 31,118

Step by Step Solution

1. Step 1: Write the proportion equation
   21,178 : 31,118 = 31,118 : x
2. Step 2: Convert to fraction form
   21,178/31,118 = 31,118/x
3. Step 3: Cross multiply
   21,178x = 31,118 × 31,118
4. Step 4: Simplify right side
   21,178x = 968,329,924
5. Step 5: Solve for x
   x = 968,329,924/21,178
6. Step 6: Final answer
   x = 45,723.39