Finding the Third Proportional to 37,446 and 79,510

Step by Step Solution

1. Step 1: Write the proportion equation
   37,446 : 79,510 = 79,510 : x
2. Step 2: Convert to fraction form
   37,446/79,510 = 79,510/x
3. Step 3: Cross multiply
   37,446x = 79,510 × 79,510
4. Step 4: Simplify right side
   37,446x = 6,321,840,100
5. Step 5: Solve for x
   x = 6,321,840,100/37,446
6. Step 6: Final answer
   x = 168,825.51