Finding the Third Proportional to 38,811 and 72,174

Step by Step Solution

1. Step 1: Write the proportion equation
   38,811 : 72,174 = 72,174 : x
2. Step 2: Convert to fraction form
   38,811/72,174 = 72,174/x
3. Step 3: Cross multiply
   38,811x = 72,174 × 72,174
4. Step 4: Simplify right side
   38,811x = 5,209,086,276
5. Step 5: Solve for x
   x = 5,209,086,276/38,811
6. Step 6: Final answer
   x = 134,216.75