Finding the Third Proportional to 31,738 and 75,192.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,738 : 75,192.50 = 75,192.50 : x
2. Step 2: Convert to fraction form
   31,738/75,192.50 = 75,192.50/x
3. Step 3: Cross multiply
   31,738x = 75,192.50 × 75,192.50
4. Step 4: Simplify right side
   31,738x = 5,653,912,056.25
5. Step 5: Solve for x
   x = 5,653,912,056.25/31,738
6. Step 6: Final answer
   x = 178,143.30