Finding the Third Proportional to 13,206 and 31,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,206 : 31,561.50 = 31,561.50 : x
2. Step 2: Convert to fraction form
   13,206/31,561.50 = 31,561.50/x
3. Step 3: Cross multiply
   13,206x = 31,561.50 × 31,561.50
4. Step 4: Simplify right side
   13,206x = 996,128,282.25
5. Step 5: Solve for x
   x = 996,128,282.25/13,206
6. Step 6: Final answer
   x = 75,429.98