Finding the Third Proportional to 30,699 and 72,261

Step by Step Solution

1. Step 1: Write the proportion equation
   30,699 : 72,261 = 72,261 : x
2. Step 2: Convert to fraction form
   30,699/72,261 = 72,261/x
3. Step 3: Cross multiply
   30,699x = 72,261 × 72,261
4. Step 4: Simplify right side
   30,699x = 5,221,652,121
5. Step 5: Solve for x
   x = 5,221,652,121/30,699
6. Step 6: Final answer
   x = 170,091.93