Finding the Third Proportional to 32,521.50 and 69,894

Step by Step Solution

1. Step 1: Write the proportion equation
   32,521.50 : 69,894 = 69,894 : x
2. Step 2: Convert to fraction form
   32,521.50/69,894 = 69,894/x
3. Step 3: Cross multiply
   32,521.50x = 69,894 × 69,894
4. Step 4: Simplify right side
   32,521.50x = 4,885,171,236
5. Step 5: Solve for x
   x = 4,885,171,236/32,521.50
6. Step 6: Final answer
   x = 150,213.59