Finding the Third Proportional to 22,553 and 51,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,553 : 51,978.50 = 51,978.50 : x
2. Step 2: Convert to fraction form
   22,553/51,978.50 = 51,978.50/x
3. Step 3: Cross multiply
   22,553x = 51,978.50 × 51,978.50
4. Step 4: Simplify right side
   22,553x = 2,701,764,462.25
5. Step 5: Solve for x
   x = 2,701,764,462.25/22,553
6. Step 6: Final answer
   x = 119,796.23