Finding the Third Proportional to 34,516 and 74,012

Step by Step Solution

1. Step 1: Write the proportion equation
   34,516 : 74,012 = 74,012 : x
2. Step 2: Convert to fraction form
   34,516/74,012 = 74,012/x
3. Step 3: Cross multiply
   34,516x = 74,012 × 74,012
4. Step 4: Simplify right side
   34,516x = 5,477,776,144
5. Step 5: Solve for x
   x = 5,477,776,144/34,516
6. Step 6: Final answer
   x = 158,702.52