Finding the Third Proportional to 31,410 and 72,657

Step by Step Solution

1. Step 1: Write the proportion equation
   31,410 : 72,657 = 72,657 : x
2. Step 2: Convert to fraction form
   31,410/72,657 = 72,657/x
3. Step 3: Cross multiply
   31,410x = 72,657 × 72,657
4. Step 4: Simplify right side
   31,410x = 5,279,039,649
5. Step 5: Solve for x
   x = 5,279,039,649/31,410
6. Step 6: Final answer
   x = 168,068.76