Finding the Third Proportional to 37,897 and 56,845.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,897 : 56,845.50 = 56,845.50 : x
2. Step 2: Convert to fraction form
   37,897/56,845.50 = 56,845.50/x
3. Step 3: Cross multiply
   37,897x = 56,845.50 × 56,845.50
4. Step 4: Simplify right side
   37,897x = 3,231,410,870.25
5. Step 5: Solve for x
   x = 3,231,410,870.25/37,897
6. Step 6: Final answer
   x = 85,268.25