Finding the Third Proportional to 25,075.50 and 39,678.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,075.50 : 39,678.75 = 39,678.75 : x
2. Step 2: Convert to fraction form
   25,075.50/39,678.75 = 39,678.75/x
3. Step 3: Cross multiply
   25,075.50x = 39,678.75 × 39,678.75
4. Step 4: Simplify right side
   25,075.50x = 1,574,403,201.56
5. Step 5: Solve for x
   x = 1,574,403,201.56/25,075.50
6. Step 6: Final answer
   x = 62,786.51