Finding the Third Proportional to 37,968 and 58,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,968 : 58,942.50 = 58,942.50 : x
2. Step 2: Convert to fraction form
   37,968/58,942.50 = 58,942.50/x
3. Step 3: Cross multiply
   37,968x = 58,942.50 × 58,942.50
4. Step 4: Simplify right side
   37,968x = 3,474,218,306.25
5. Step 5: Solve for x
   x = 3,474,218,306.25/37,968
6. Step 6: Final answer
   x = 91,503.85