Finding the Third Proportional to 25,773 and 39,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,773 : 39,823.50 = 39,823.50 : x
2. Step 2: Convert to fraction form
   25,773/39,823.50 = 39,823.50/x
3. Step 3: Cross multiply
   25,773x = 39,823.50 × 39,823.50
4. Step 4: Simplify right side
   25,773x = 1,585,911,152.25
5. Step 5: Solve for x
   x = 1,585,911,152.25/25,773
6. Step 6: Final answer
   x = 61,533.82