Finding the Third Proportional to 34,845 and 76,362

Step by Step Solution

1. Step 1: Write the proportion equation
   34,845 : 76,362 = 76,362 : x
2. Step 2: Convert to fraction form
   34,845/76,362 = 76,362/x
3. Step 3: Cross multiply
   34,845x = 76,362 × 76,362
4. Step 4: Simplify right side
   34,845x = 5,831,155,044
5. Step 5: Solve for x
   x = 5,831,155,044/34,845
6. Step 6: Final answer
   x = 167,345.53