Finding the Third Proportional to 13,214 and 31,194

Step by Step Solution

1. Step 1: Write the proportion equation
   13,214 : 31,194 = 31,194 : x
2. Step 2: Convert to fraction form
   13,214/31,194 = 31,194/x
3. Step 3: Cross multiply
   13,214x = 31,194 × 31,194
4. Step 4: Simplify right side
   13,214x = 973,065,636
5. Step 5: Solve for x
   x = 973,065,636/13,214
6. Step 6: Final answer
   x = 73,638.99