Finding the Third Proportional to 33,624 and 72,430

Step by Step Solution

1. Step 1: Write the proportion equation
   33,624 : 72,430 = 72,430 : x
2. Step 2: Convert to fraction form
   33,624/72,430 = 72,430/x
3. Step 3: Cross multiply
   33,624x = 72,430 × 72,430
4. Step 4: Simplify right side
   33,624x = 5,246,104,900
5. Step 5: Solve for x
   x = 5,246,104,900/33,624
6. Step 6: Final answer
   x = 156,022.63