Finding the Third Proportional to 31,296 and 72,468

Step by Step Solution

1. Step 1: Write the proportion equation
   31,296 : 72,468 = 72,468 : x
2. Step 2: Convert to fraction form
   31,296/72,468 = 72,468/x
3. Step 3: Cross multiply
   31,296x = 72,468 × 72,468
4. Step 4: Simplify right side
   31,296x = 5,251,611,024
5. Step 5: Solve for x
   x = 5,251,611,024/31,296
6. Step 6: Final answer
   x = 167,804.54