Finding the Third Proportional to 48,380 and 72,853

Step by Step Solution

1. Step 1: Write the proportion equation
   48,380 : 72,853 = 72,853 : x
2. Step 2: Convert to fraction form
   48,380/72,853 = 72,853/x
3. Step 3: Cross multiply
   48,380x = 72,853 × 72,853
4. Step 4: Simplify right side
   48,380x = 5,307,559,609
5. Step 5: Solve for x
   x = 5,307,559,609/48,380
6. Step 6: Final answer
   x = 109,705.66