Finding the Third Proportional to 31,710 and 49,168

Step by Step Solution

1. Step 1: Write the proportion equation
   31,710 : 49,168 = 49,168 : x
2. Step 2: Convert to fraction form
   31,710/49,168 = 49,168/x
3. Step 3: Cross multiply
   31,710x = 49,168 × 49,168
4. Step 4: Simplify right side
   31,710x = 2,417,492,224
5. Step 5: Solve for x
   x = 2,417,492,224/31,710
6. Step 6: Final answer
   x = 76,237.53