Finding the Third Proportional to 32,974 and 69,871

Step by Step Solution

1. Step 1: Write the proportion equation
   32,974 : 69,871 = 69,871 : x
2. Step 2: Convert to fraction form
   32,974/69,871 = 69,871/x
3. Step 3: Cross multiply
   32,974x = 69,871 × 69,871
4. Step 4: Simplify right side
   32,974x = 4,881,956,641
5. Step 5: Solve for x
   x = 4,881,956,641/32,974
6. Step 6: Final answer
   x = 148,054.73