Finding the Third Proportional to 37,590.75 and 69,977.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,590.75 : 69,977.25 = 69,977.25 : x
2. Step 2: Convert to fraction form
   37,590.75/69,977.25 = 69,977.25/x
3. Step 3: Cross multiply
   37,590.75x = 69,977.25 × 69,977.25
4. Step 4: Simplify right side
   37,590.75x = 4,896,815,517.56
5. Step 5: Solve for x
   x = 4,896,815,517.56/37,590.75
6. Step 6: Final answer
   x = 130,266.50