Finding the Third Proportional to 21,210 and 31,194

Step by Step Solution

1. Step 1: Write the proportion equation
   21,210 : 31,194 = 31,194 : x
2. Step 2: Convert to fraction form
   21,210/31,194 = 31,194/x
3. Step 3: Cross multiply
   21,210x = 31,194 × 31,194
4. Step 4: Simplify right side
   21,210x = 973,065,636
5. Step 5: Solve for x
   x = 973,065,636/21,210
6. Step 6: Final answer
   x = 45,877.68