Finding the Third Proportional to 25,926 and 55,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,926 : 55,793.50 = 55,793.50 : x
2. Step 2: Convert to fraction form
   25,926/55,793.50 = 55,793.50/x
3. Step 3: Cross multiply
   25,926x = 55,793.50 × 55,793.50
4. Step 4: Simplify right side
   25,926x = 3,112,914,642.25
5. Step 5: Solve for x
   x = 3,112,914,642.25/25,926
6. Step 6: Final answer
   x = 120,069.22