Finding the Third Proportional to 48,642 and 72,855

Step by Step Solution

1. Step 1: Write the proportion equation
   48,642 : 72,855 = 72,855 : x
2. Step 2: Convert to fraction form
   48,642/72,855 = 72,855/x
3. Step 3: Cross multiply
   48,642x = 72,855 × 72,855
4. Step 4: Simplify right side
   48,642x = 5,307,851,025
5. Step 5: Solve for x
   x = 5,307,851,025/48,642
6. Step 6: Final answer
   x = 109,120.74