Finding the Third Proportional to 37,306.50 and 57,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,306.50 : 57,637.50 = 57,637.50 : x
2. Step 2: Convert to fraction form
   37,306.50/57,637.50 = 57,637.50/x
3. Step 3: Cross multiply
   37,306.50x = 57,637.50 × 57,637.50
4. Step 4: Simplify right side
   37,306.50x = 3,322,081,406.25
5. Step 5: Solve for x
   x = 3,322,081,406.25/37,306.50
6. Step 6: Final answer
   x = 89,048.33