Finding the Third Proportional to 46,656 and 59,076

Step by Step Solution

1. Step 1: Write the proportion equation
   46,656 : 59,076 = 59,076 : x
2. Step 2: Convert to fraction form
   46,656/59,076 = 59,076/x
3. Step 3: Cross multiply
   46,656x = 59,076 × 59,076
4. Step 4: Simplify right side
   46,656x = 3,489,973,776
5. Step 5: Solve for x
   x = 3,489,973,776/46,656
6. Step 6: Final answer
   x = 74,802.25