Finding the Third Proportional to 12,633 and 19,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,633 : 19,816.50 = 19,816.50 : x
2. Step 2: Convert to fraction form
   12,633/19,816.50 = 19,816.50/x
3. Step 3: Cross multiply
   12,633x = 19,816.50 × 19,816.50
4. Step 4: Simplify right side
   12,633x = 392,693,672.25
5. Step 5: Solve for x
   x = 392,693,672.25/12,633
6. Step 6: Final answer
   x = 31,084.75