Finding the Third Proportional to 7,870 and 19,038

Step by Step Solution

1. Step 1: Write the proportion equation
   7,870 : 19,038 = 19,038 : x
2. Step 2: Convert to fraction form
   7,870/19,038 = 19,038/x
3. Step 3: Cross multiply
   7,870x = 19,038 × 19,038
4. Step 4: Simplify right side
   7,870x = 362,445,444
5. Step 5: Solve for x
   x = 362,445,444/7,870
6. Step 6: Final answer
   x = 46,054.06