Finding the Third Proportional to 34,760 and 53,848

Step by Step Solution

1. Step 1: Write the proportion equation
   34,760 : 53,848 = 53,848 : x
2. Step 2: Convert to fraction form
   34,760/53,848 = 53,848/x
3. Step 3: Cross multiply
   34,760x = 53,848 × 53,848
4. Step 4: Simplify right side
   34,760x = 2,899,607,104
5. Step 5: Solve for x
   x = 2,899,607,104/34,760
6. Step 6: Final answer
   x = 83,417.93