Finding the Third Proportional to 31,752 and 67,721.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,752 : 67,721.63 = 67,721.63 : x
2. Step 2: Convert to fraction form
   31,752/67,721.63 = 67,721.63/x
3. Step 3: Cross multiply
   31,752x = 67,721.63 × 67,721.63
4. Step 4: Simplify right side
   31,752x = 4,586,218,492.64
5. Step 5: Solve for x
   x = 4,586,218,492.64/31,752
6. Step 6: Final answer
   x = 144,438.73