Finding the Third Proportional to 25,477 and 33,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,477 : 33,978.50 = 33,978.50 : x
2. Step 2: Convert to fraction form
   25,477/33,978.50 = 33,978.50/x
3. Step 3: Cross multiply
   25,477x = 33,978.50 × 33,978.50
4. Step 4: Simplify right side
   25,477x = 1,154,538,462.25
5. Step 5: Solve for x
   x = 1,154,538,462.25/25,477
6. Step 6: Final answer
   x = 45,316.89