Finding the Third Proportional to 19,507 and 46,002

Step by Step Solution

1. Step 1: Write the proportion equation
   19,507 : 46,002 = 46,002 : x
2. Step 2: Convert to fraction form
   19,507/46,002 = 46,002/x
3. Step 3: Cross multiply
   19,507x = 46,002 × 46,002
4. Step 4: Simplify right side
   19,507x = 2,116,184,004
5. Step 5: Solve for x
   x = 2,116,184,004/19,507
6. Step 6: Final answer
   x = 108,483.31