Finding the Third Proportional to 52,869 and 75,991.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,869 : 75,991.50 = 75,991.50 : x
2. Step 2: Convert to fraction form
   52,869/75,991.50 = 75,991.50/x
3. Step 3: Cross multiply
   52,869x = 75,991.50 × 75,991.50
4. Step 4: Simplify right side
   52,869x = 5,774,708,072.25
5. Step 5: Solve for x
   x = 5,774,708,072.25/52,869
6. Step 6: Final answer
   x = 109,226.73