Finding the Third Proportional to 31,572 and 73,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,572 : 73,768.50 = 73,768.50 : x
2. Step 2: Convert to fraction form
   31,572/73,768.50 = 73,768.50/x
3. Step 3: Cross multiply
   31,572x = 73,768.50 × 73,768.50
4. Step 4: Simplify right side
   31,572x = 5,441,791,592.25
5. Step 5: Solve for x
   x = 5,441,791,592.25/31,572
6. Step 6: Final answer
   x = 172,361.32