Finding the Third Proportional to 12,762 and 19,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,762 : 19,714.50 = 19,714.50 : x
2. Step 2: Convert to fraction form
   12,762/19,714.50 = 19,714.50/x
3. Step 3: Cross multiply
   12,762x = 19,714.50 × 19,714.50
4. Step 4: Simplify right side
   12,762x = 388,661,510.25
5. Step 5: Solve for x
   x = 388,661,510.25/12,762
6. Step 6: Final answer
   x = 30,454.59