Finding the Third Proportional to 48,398 and 77,061

Step by Step Solution

1. Step 1: Write the proportion equation
   48,398 : 77,061 = 77,061 : x
2. Step 2: Convert to fraction form
   48,398/77,061 = 77,061/x
3. Step 3: Cross multiply
   48,398x = 77,061 × 77,061
4. Step 4: Simplify right side
   48,398x = 5,938,397,721
5. Step 5: Solve for x
   x = 5,938,397,721/48,398
6. Step 6: Final answer
   x = 122,699.24