Finding the Third Proportional to 37,389 and 55,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,389 : 55,759.50 = 55,759.50 : x
2. Step 2: Convert to fraction form
   37,389/55,759.50 = 55,759.50/x
3. Step 3: Cross multiply
   37,389x = 55,759.50 × 55,759.50
4. Step 4: Simplify right side
   37,389x = 3,109,121,840.25
5. Step 5: Solve for x
   x = 3,109,121,840.25/37,389
6. Step 6: Final answer
   x = 83,156.06