Finding the Third Proportional to 33,465 and 72,114

Step by Step Solution

1. Step 1: Write the proportion equation
   33,465 : 72,114 = 72,114 : x
2. Step 2: Convert to fraction form
   33,465/72,114 = 72,114/x
3. Step 3: Cross multiply
   33,465x = 72,114 × 72,114
4. Step 4: Simplify right side
   33,465x = 5,200,428,996
5. Step 5: Solve for x
   x = 5,200,428,996/33,465
6. Step 6: Final answer
   x = 155,399.04