Finding the Third Proportional to 37,978 and 58,957.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,978 : 58,957.50 = 58,957.50 : x
2. Step 2: Convert to fraction form
   37,978/58,957.50 = 58,957.50/x
3. Step 3: Cross multiply
   37,978x = 58,957.50 × 58,957.50
4. Step 4: Simplify right side
   37,978x = 3,475,986,806.25
5. Step 5: Solve for x
   x = 3,475,986,806.25/37,978
6. Step 6: Final answer
   x = 91,526.33