Finding the Third Proportional to 13,230 and 31,981.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,230 : 31,981.50 = 31,981.50 : x
2. Step 2: Convert to fraction form
   13,230/31,981.50 = 31,981.50/x
3. Step 3: Cross multiply
   13,230x = 31,981.50 × 31,981.50
4. Step 4: Simplify right side
   13,230x = 1,022,816,342.25
5. Step 5: Solve for x
   x = 1,022,816,342.25/13,230
6. Step 6: Final answer
   x = 77,310.38