Finding the Third Proportional to 37,591 and 55,981.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,591 : 55,981.50 = 55,981.50 : x
2. Step 2: Convert to fraction form
   37,591/55,981.50 = 55,981.50/x
3. Step 3: Cross multiply
   37,591x = 55,981.50 × 55,981.50
4. Step 4: Simplify right side
   37,591x = 3,133,928,342.25
5. Step 5: Solve for x
   x = 3,133,928,342.25/37,591
6. Step 6: Final answer
   x = 83,369.11