Finding the Third Proportional to 37,978.50 and 58,958.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,978.50 : 58,958.25 = 58,958.25 : x
2. Step 2: Convert to fraction form
   37,978.50/58,958.25 = 58,958.25/x
3. Step 3: Cross multiply
   37,978.50x = 58,958.25 × 58,958.25
4. Step 4: Simplify right side
   37,978.50x = 3,476,075,243.06
5. Step 5: Solve for x
   x = 3,476,075,243.06/37,978.50
6. Step 6: Final answer
   x = 91,527.45