Finding the Third Proportional to 25,738 and 56,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,738 : 56,214.50 = 56,214.50 : x
2. Step 2: Convert to fraction form
   25,738/56,214.50 = 56,214.50/x
3. Step 3: Cross multiply
   25,738x = 56,214.50 × 56,214.50
4. Step 4: Simplify right side
   25,738x = 3,160,070,010.25
5. Step 5: Solve for x
   x = 3,160,070,010.25/25,738
6. Step 6: Final answer
   x = 122,778.38