Finding the Third Proportional to 13,422 and 31,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,422 : 31,198.50 = 31,198.50 : x
2. Step 2: Convert to fraction form
   13,422/31,198.50 = 31,198.50/x
3. Step 3: Cross multiply
   13,422x = 31,198.50 × 31,198.50
4. Step 4: Simplify right side
   13,422x = 973,346,402.25
5. Step 5: Solve for x
   x = 973,346,402.25/13,422
6. Step 6: Final answer
   x = 72,518.73