Finding the Third Proportional to 13,421 and 31,196

Step by Step Solution

1. Step 1: Write the proportion equation
   13,421 : 31,196 = 31,196 : x
2. Step 2: Convert to fraction form
   13,421/31,196 = 31,196/x
3. Step 3: Cross multiply
   13,421x = 31,196 × 31,196
4. Step 4: Simplify right side
   13,421x = 973,190,416
5. Step 5: Solve for x
   x = 973,190,416/13,421
6. Step 6: Final answer
   x = 72,512.51