Finding the Third Proportional to 30,631.50 and 72,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,631.50 : 72,778.50 = 72,778.50 : x
2. Step 2: Convert to fraction form
   30,631.50/72,778.50 = 72,778.50/x
3. Step 3: Cross multiply
   30,631.50x = 72,778.50 × 72,778.50
4. Step 4: Simplify right side
   30,631.50x = 5,296,710,062.25
5. Step 5: Solve for x
   x = 5,296,710,062.25/30,631.50
6. Step 6: Final answer
   x = 172,917.10