Finding the Third Proportional to 31,602 and 48,819

Step by Step Solution

1. Step 1: Write the proportion equation
   31,602 : 48,819 = 48,819 : x
2. Step 2: Convert to fraction form
   31,602/48,819 = 48,819/x
3. Step 3: Cross multiply
   31,602x = 48,819 × 48,819
4. Step 4: Simplify right side
   31,602x = 2,383,294,761
5. Step 5: Solve for x
   x = 2,383,294,761/31,602
6. Step 6: Final answer
   x = 75,415.95