Finding the Third Proportional to 31,833 and 72,454.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,833 : 72,454.50 = 72,454.50 : x
2. Step 2: Convert to fraction form
   31,833/72,454.50 = 72,454.50/x
3. Step 3: Cross multiply
   31,833x = 72,454.50 × 72,454.50
4. Step 4: Simplify right side
   31,833x = 5,249,654,570.25
5. Step 5: Solve for x
   x = 5,249,654,570.25/31,833
6. Step 6: Final answer
   x = 164,912.34