Finding the Third Proportional to 33,666 and 72,903

Step by Step Solution

1. Step 1: Write the proportion equation
   33,666 : 72,903 = 72,903 : x
2. Step 2: Convert to fraction form
   33,666/72,903 = 72,903/x
3. Step 3: Cross multiply
   33,666x = 72,903 × 72,903
4. Step 4: Simplify right side
   33,666x = 5,314,847,409
5. Step 5: Solve for x
   x = 5,314,847,409/33,666
6. Step 6: Final answer
   x = 157,869.88