Finding the Third Proportional to 32,763 and 67,470

Step by Step Solution

1. Step 1: Write the proportion equation
   32,763 : 67,470 = 67,470 : x
2. Step 2: Convert to fraction form
   32,763/67,470 = 67,470/x
3. Step 3: Cross multiply
   32,763x = 67,470 × 67,470
4. Step 4: Simplify right side
   32,763x = 4,552,200,900
5. Step 5: Solve for x
   x = 4,552,200,900/32,763
6. Step 6: Final answer
   x = 138,943.35