Finding the Third Proportional to 37,298 and 72,706

Step by Step Solution

1. Step 1: Write the proportion equation
   37,298 : 72,706 = 72,706 : x
2. Step 2: Convert to fraction form
   37,298/72,706 = 72,706/x
3. Step 3: Cross multiply
   37,298x = 72,706 × 72,706
4. Step 4: Simplify right side
   37,298x = 5,286,162,436
5. Step 5: Solve for x
   x = 5,286,162,436/37,298
6. Step 6: Final answer
   x = 141,727.77