Finding the Third Proportional to 25,830 and 34,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,830 : 34,852.50 = 34,852.50 : x
2. Step 2: Convert to fraction form
   25,830/34,852.50 = 34,852.50/x
3. Step 3: Cross multiply
   25,830x = 34,852.50 × 34,852.50
4. Step 4: Simplify right side
   25,830x = 1,214,696,756.25
5. Step 5: Solve for x
   x = 1,214,696,756.25/25,830
6. Step 6: Final answer
   x = 47,026.59