Finding the Third Proportional to 12,345 and 19,095

Step by Step Solution

1. Step 1: Write the proportion equation
   12,345 : 19,095 = 19,095 : x
2. Step 2: Convert to fraction form
   12,345/19,095 = 19,095/x
3. Step 3: Cross multiply
   12,345x = 19,095 × 19,095
4. Step 4: Simplify right side
   12,345x = 364,619,025
5. Step 5: Solve for x
   x = 364,619,025/12,345
6. Step 6: Final answer
   x = 29,535.77