Finding the Third Proportional to 34,852 and 46,374

Step by Step Solution

1. Step 1: Write the proportion equation
   34,852 : 46,374 = 46,374 : x
2. Step 2: Convert to fraction form
   34,852/46,374 = 46,374/x
3. Step 3: Cross multiply
   34,852x = 46,374 × 46,374
4. Step 4: Simplify right side
   34,852x = 2,150,547,876
5. Step 5: Solve for x
   x = 2,150,547,876/34,852
6. Step 6: Final answer
   x = 61,705.15