Finding the Third Proportional to 30,402 and 46,008

Step by Step Solution

1. Step 1: Write the proportion equation
   30,402 : 46,008 = 46,008 : x
2. Step 2: Convert to fraction form
   30,402/46,008 = 46,008/x
3. Step 3: Cross multiply
   30,402x = 46,008 × 46,008
4. Step 4: Simplify right side
   30,402x = 2,116,736,064
5. Step 5: Solve for x
   x = 2,116,736,064/30,402
6. Step 6: Final answer
   x = 69,624.90