Finding the Third Proportional to 31,152 and 46,272

Step by Step Solution

1. Step 1: Write the proportion equation
   31,152 : 46,272 = 46,272 : x
2. Step 2: Convert to fraction form
   31,152/46,272 = 46,272/x
3. Step 3: Cross multiply
   31,152x = 46,272 × 46,272
4. Step 4: Simplify right side
   31,152x = 2,141,097,984
5. Step 5: Solve for x
   x = 2,141,097,984/31,152
6. Step 6: Final answer
   x = 68,730.67