Finding the Third Proportional to 13,212 and 31,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,212 : 31,189.50 = 31,189.50 : x
2. Step 2: Convert to fraction form
   13,212/31,189.50 = 31,189.50/x
3. Step 3: Cross multiply
   13,212x = 31,189.50 × 31,189.50
4. Step 4: Simplify right side
   13,212x = 972,784,910.25
5. Step 5: Solve for x
   x = 972,784,910.25/13,212
6. Step 6: Final answer
   x = 73,628.89