Finding the Third Proportional to 45,869 and 72,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,869 : 72,972.50 = 72,972.50 : x
2. Step 2: Convert to fraction form
   45,869/72,972.50 = 72,972.50/x
3. Step 3: Cross multiply
   45,869x = 72,972.50 × 72,972.50
4. Step 4: Simplify right side
   45,869x = 5,324,985,756.25
5. Step 5: Solve for x
   x = 5,324,985,756.25/45,869
6. Step 6: Final answer
   x = 116,091.17