Finding the Third Proportional to 48,978 and 73,431

Step by Step Solution

1. Step 1: Write the proportion equation
   48,978 : 73,431 = 73,431 : x
2. Step 2: Convert to fraction form
   48,978/73,431 = 73,431/x
3. Step 3: Cross multiply
   48,978x = 73,431 × 73,431
4. Step 4: Simplify right side
   48,978x = 5,392,111,761
5. Step 5: Solve for x
   x = 5,392,111,761/48,978
6. Step 6: Final answer
   x = 110,092.53