Finding the Third Proportional to 25,789.50 and 52,407

Step by Step Solution

1. Step 1: Write the proportion equation
   25,789.50 : 52,407 = 52,407 : x
2. Step 2: Convert to fraction form
   25,789.50/52,407 = 52,407/x
3. Step 3: Cross multiply
   25,789.50x = 52,407 × 52,407
4. Step 4: Simplify right side
   25,789.50x = 2,746,493,649
5. Step 5: Solve for x
   x = 2,746,493,649/25,789.50
6. Step 6: Final answer
   x = 106,496.58