Finding the Third Proportional to 32,084 and 69,990

Step by Step Solution

1. Step 1: Write the proportion equation
   32,084 : 69,990 = 69,990 : x
2. Step 2: Convert to fraction form
   32,084/69,990 = 69,990/x
3. Step 3: Cross multiply
   32,084x = 69,990 × 69,990
4. Step 4: Simplify right side
   32,084x = 4,898,600,100
5. Step 5: Solve for x
   x = 4,898,600,100/32,084
6. Step 6: Final answer
   x = 152,680.47