Finding the Third Proportional to 33,769 and 72,461

Step by Step Solution

1. Step 1: Write the proportion equation
   33,769 : 72,461 = 72,461 : x
2. Step 2: Convert to fraction form
   33,769/72,461 = 72,461/x
3. Step 3: Cross multiply
   33,769x = 72,461 × 72,461
4. Step 4: Simplify right side
   33,769x = 5,250,596,521
5. Step 5: Solve for x
   x = 5,250,596,521/33,769
6. Step 6: Final answer
   x = 155,485.70