Finding the Third Proportional to 2,977.50 and 7,845.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,977.50 : 7,845.38 = 7,845.38 : x
2. Step 2: Convert to fraction form
   2,977.50/7,845.38 = 7,845.38/x
3. Step 3: Cross multiply
   2,977.50x = 7,845.38 × 7,845.38
4. Step 4: Simplify right side
   2,977.50x = 61,549,908.89
5. Step 5: Solve for x
   x = 61,549,908.89/2,977.50
6. Step 6: Final answer
   x = 20,671.67