Finding the Third Proportional to 34,211 and 73,516

Step by Step Solution

1. Step 1: Write the proportion equation
   34,211 : 73,516 = 73,516 : x
2. Step 2: Convert to fraction form
   34,211/73,516 = 73,516/x
3. Step 3: Cross multiply
   34,211x = 73,516 × 73,516
4. Step 4: Simplify right side
   34,211x = 5,404,602,256
5. Step 5: Solve for x
   x = 5,404,602,256/34,211
6. Step 6: Final answer
   x = 157,978.49