Finding the Third Proportional to 37,064 and 80,680

Step by Step Solution

1. Step 1: Write the proportion equation
   37,064 : 80,680 = 80,680 : x
2. Step 2: Convert to fraction form
   37,064/80,680 = 80,680/x
3. Step 3: Cross multiply
   37,064x = 80,680 × 80,680
4. Step 4: Simplify right side
   37,064x = 6,509,262,400
5. Step 5: Solve for x
   x = 6,509,262,400/37,064
6. Step 6: Final answer
   x = 175,622.23