Finding the Third Proportional to 33,365 and 72,553

Step by Step Solution

1. Step 1: Write the proportion equation
   33,365 : 72,553 = 72,553 : x
2. Step 2: Convert to fraction form
   33,365/72,553 = 72,553/x
3. Step 3: Cross multiply
   33,365x = 72,553 × 72,553
4. Step 4: Simplify right side
   33,365x = 5,263,937,809
5. Step 5: Solve for x
   x = 5,263,937,809/33,365
6. Step 6: Final answer
   x = 157,768.25