Finding the Third Proportional to 34,213 and 73,520

Step by Step Solution

1. Step 1: Write the proportion equation
   34,213 : 73,520 = 73,520 : x
2. Step 2: Convert to fraction form
   34,213/73,520 = 73,520/x
3. Step 3: Cross multiply
   34,213x = 73,520 × 73,520
4. Step 4: Simplify right side
   34,213x = 5,405,190,400
5. Step 5: Solve for x
   x = 5,405,190,400/34,213
6. Step 6: Final answer
   x = 157,986.45