Finding the Third Proportional to 32,390 and 69,746

Step by Step Solution

1. Step 1: Write the proportion equation
   32,390 : 69,746 = 69,746 : x
2. Step 2: Convert to fraction form
   32,390/69,746 = 69,746/x
3. Step 3: Cross multiply
   32,390x = 69,746 × 69,746
4. Step 4: Simplify right side
   32,390x = 4,864,504,516
5. Step 5: Solve for x
   x = 4,864,504,516/32,390
6. Step 6: Final answer
   x = 150,185.38