Finding the Third Proportional to 37,294 and 72,695

Step by Step Solution

1. Step 1: Write the proportion equation
   37,294 : 72,695 = 72,695 : x
2. Step 2: Convert to fraction form
   37,294/72,695 = 72,695/x
3. Step 3: Cross multiply
   37,294x = 72,695 × 72,695
4. Step 4: Simplify right side
   37,294x = 5,284,563,025
5. Step 5: Solve for x
   x = 5,284,563,025/37,294
6. Step 6: Final answer
   x = 141,700.09