Finding the Third Proportional to 34,413 and 72,961

Step by Step Solution

1. Step 1: Write the proportion equation
   34,413 : 72,961 = 72,961 : x
2. Step 2: Convert to fraction form
   34,413/72,961 = 72,961/x
3. Step 3: Cross multiply
   34,413x = 72,961 × 72,961
4. Step 4: Simplify right side
   34,413x = 5,323,307,521
5. Step 5: Solve for x
   x = 5,323,307,521/34,413
6. Step 6: Final answer
   x = 154,688.85