Finding the Third Proportional to 46,776 and 72,464

Step by Step Solution

1. Step 1: Write the proportion equation
   46,776 : 72,464 = 72,464 : x
2. Step 2: Convert to fraction form
   46,776/72,464 = 72,464/x
3. Step 3: Cross multiply
   46,776x = 72,464 × 72,464
4. Step 4: Simplify right side
   46,776x = 5,251,031,296
5. Step 5: Solve for x
   x = 5,251,031,296/46,776
6. Step 6: Final answer
   x = 112,259.09