Finding the Third Proportional to 25,600.50 and 53,024.63

Step by Step Solution

1. Step 1: Write the proportion equation
   25,600.50 : 53,024.63 = 53,024.63 : x
2. Step 2: Convert to fraction form
   25,600.50/53,024.63 = 53,024.63/x
3. Step 3: Cross multiply
   25,600.50x = 53,024.63 × 53,024.63
4. Step 4: Simplify right side
   25,600.50x = 2,811,610,856.39
5. Step 5: Solve for x
   x = 2,811,610,856.39/25,600.50
6. Step 6: Final answer
   x = 109,826.40