Finding the Third Proportional to 39,825 and 58,826.25

Step by Step Solution

1. Step 1: Write the proportion equation
   39,825 : 58,826.25 = 58,826.25 : x
2. Step 2: Convert to fraction form
   39,825/58,826.25 = 58,826.25/x
3. Step 3: Cross multiply
   39,825x = 58,826.25 × 58,826.25
4. Step 4: Simplify right side
   39,825x = 3,460,527,689.06
5. Step 5: Solve for x
   x = 3,460,527,689.06/39,825
6. Step 6: Final answer
   x = 86,893.35