Finding the Third Proportional to 25,278 and 35,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,278 : 35,437.50 = 35,437.50 : x
2. Step 2: Convert to fraction form
   25,278/35,437.50 = 35,437.50/x
3. Step 3: Cross multiply
   25,278x = 35,437.50 × 35,437.50
4. Step 4: Simplify right side
   25,278x = 1,255,816,406.25
5. Step 5: Solve for x
   x = 1,255,816,406.25/25,278
6. Step 6: Final answer
   x = 49,680.21