Finding the Third Proportional to 32,010 and 69,825

Step by Step Solution

1. Step 1: Write the proportion equation
   32,010 : 69,825 = 69,825 : x
2. Step 2: Convert to fraction form
   32,010/69,825 = 69,825/x
3. Step 3: Cross multiply
   32,010x = 69,825 × 69,825
4. Step 4: Simplify right side
   32,010x = 4,875,530,625
5. Step 5: Solve for x
   x = 4,875,530,625/32,010
6. Step 6: Final answer
   x = 152,312.73