Finding the Third Proportional to 35,226 and 47,978

Step by Step Solution

1. Step 1: Write the proportion equation
   35,226 : 47,978 = 47,978 : x
2. Step 2: Convert to fraction form
   35,226/47,978 = 47,978/x
3. Step 3: Cross multiply
   35,226x = 47,978 × 47,978
4. Step 4: Simplify right side
   35,226x = 2,301,888,484
5. Step 5: Solve for x
   x = 2,301,888,484/35,226
6. Step 6: Final answer
   x = 65,346.29