Finding the Third Proportional to 46,978 and 72,709

Step by Step Solution

1. Step 1: Write the proportion equation
   46,978 : 72,709 = 72,709 : x
2. Step 2: Convert to fraction form
   46,978/72,709 = 72,709/x
3. Step 3: Cross multiply
   46,978x = 72,709 × 72,709
4. Step 4: Simplify right side
   46,978x = 5,286,598,681
5. Step 5: Solve for x
   x = 5,286,598,681/46,978
6. Step 6: Final answer
   x = 112,533.50