Finding the Third Proportional to 32,974 and 70,321

Step by Step Solution

1. Step 1: Write the proportion equation
   32,974 : 70,321 = 70,321 : x
2. Step 2: Convert to fraction form
   32,974/70,321 = 70,321/x
3. Step 3: Cross multiply
   32,974x = 70,321 × 70,321
4. Step 4: Simplify right side
   32,974x = 4,945,043,041
5. Step 5: Solve for x
   x = 4,945,043,041/32,974
6. Step 6: Final answer
   x = 149,967.95