Finding the Third Proportional to 33,438 and 72,708

Step by Step Solution

1. Step 1: Write the proportion equation
   33,438 : 72,708 = 72,708 : x
2. Step 2: Convert to fraction form
   33,438/72,708 = 72,708/x
3. Step 3: Cross multiply
   33,438x = 72,708 × 72,708
4. Step 4: Simplify right side
   33,438x = 5,286,453,264
5. Step 5: Solve for x
   x = 5,286,453,264/33,438
6. Step 6: Final answer
   x = 158,097.17