Finding the Third Proportional to 34,006 and 72,053

Step by Step Solution

1. Step 1: Write the proportion equation
   34,006 : 72,053 = 72,053 : x
2. Step 2: Convert to fraction form
   34,006/72,053 = 72,053/x
3. Step 3: Cross multiply
   34,006x = 72,053 × 72,053
4. Step 4: Simplify right side
   34,006x = 5,191,634,809
5. Step 5: Solve for x
   x = 5,191,634,809/34,006
6. Step 6: Final answer
   x = 152,668.20