Finding the Third Proportional to 47,158 and 72,377

Step by Step Solution

1. Step 1: Write the proportion equation
   47,158 : 72,377 = 72,377 : x
2. Step 2: Convert to fraction form
   47,158/72,377 = 72,377/x
3. Step 3: Cross multiply
   47,158x = 72,377 × 72,377
4. Step 4: Simplify right side
   47,158x = 5,238,430,129
5. Step 5: Solve for x
   x = 5,238,430,129/47,158
6. Step 6: Final answer
   x = 111,082.53