Finding the Third Proportional to 34,853 and 74,410

Step by Step Solution

1. Step 1: Write the proportion equation
   34,853 : 74,410 = 74,410 : x
2. Step 2: Convert to fraction form
   34,853/74,410 = 74,410/x
3. Step 3: Cross multiply
   34,853x = 74,410 × 74,410
4. Step 4: Simplify right side
   34,853x = 5,536,848,100
5. Step 5: Solve for x
   x = 5,536,848,100/34,853
6. Step 6: Final answer
   x = 158,862.88