Finding the Third Proportional to 33,280 and 72,097

Step by Step Solution

1. Step 1: Write the proportion equation
   33,280 : 72,097 = 72,097 : x
2. Step 2: Convert to fraction form
   33,280/72,097 = 72,097/x
3. Step 3: Cross multiply
   33,280x = 72,097 × 72,097
4. Step 4: Simplify right side
   33,280x = 5,197,977,409
5. Step 5: Solve for x
   x = 5,197,977,409/33,280
6. Step 6: Final answer
   x = 156,189.23