Finding the Third Proportional to 11,820 and 19,046

Step by Step Solution

1. Step 1: Write the proportion equation
   11,820 : 19,046 = 19,046 : x
2. Step 2: Convert to fraction form
   11,820/19,046 = 19,046/x
3. Step 3: Cross multiply
   11,820x = 19,046 × 19,046
4. Step 4: Simplify right side
   11,820x = 362,750,116
5. Step 5: Solve for x
   x = 362,750,116/11,820
6. Step 6: Final answer
   x = 30,689.52