Finding the Third Proportional to 31,617 and 72,002.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,617 : 72,002.25 = 72,002.25 : x
2. Step 2: Convert to fraction form
   31,617/72,002.25 = 72,002.25/x
3. Step 3: Cross multiply
   31,617x = 72,002.25 × 72,002.25
4. Step 4: Simplify right side
   31,617x = 5,184,324,005.06
5. Step 5: Solve for x
   x = 5,184,324,005.06/31,617
6. Step 6: Final answer
   x = 163,972.67