Finding the Third Proportional to 25,823 and 34,847.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,823 : 34,847.50 = 34,847.50 : x
2. Step 2: Convert to fraction form
   25,823/34,847.50 = 34,847.50/x
3. Step 3: Cross multiply
   25,823x = 34,847.50 × 34,847.50
4. Step 4: Simplify right side
   25,823x = 1,214,348,256.25
5. Step 5: Solve for x
   x = 1,214,348,256.25/25,823
6. Step 6: Final answer
   x = 47,025.84