Finding the Third Proportional to 19,507 and 30,138

Step by Step Solution

1. Step 1: Write the proportion equation
   19,507 : 30,138 = 30,138 : x
2. Step 2: Convert to fraction form
   19,507/30,138 = 30,138/x
3. Step 3: Cross multiply
   19,507x = 30,138 × 30,138
4. Step 4: Simplify right side
   19,507x = 908,299,044
5. Step 5: Solve for x
   x = 908,299,044/19,507
6. Step 6: Final answer
   x = 46,562.72