Finding the Third Proportional to 25,983 and 55,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,983 : 55,852.50 = 55,852.50 : x
2. Step 2: Convert to fraction form
   25,983/55,852.50 = 55,852.50/x
3. Step 3: Cross multiply
   25,983x = 55,852.50 × 55,852.50
4. Step 4: Simplify right side
   25,983x = 3,119,501,756.25
5. Step 5: Solve for x
   x = 3,119,501,756.25/25,983
6. Step 6: Final answer
   x = 120,059.34