Finding the Third Proportional to 34,640 and 52,194

Step by Step Solution

1. Step 1: Write the proportion equation
   34,640 : 52,194 = 52,194 : x
2. Step 2: Convert to fraction form
   34,640/52,194 = 52,194/x
3. Step 3: Cross multiply
   34,640x = 52,194 × 52,194
4. Step 4: Simplify right side
   34,640x = 2,724,213,636
5. Step 5: Solve for x
   x = 2,724,213,636/34,640
6. Step 6: Final answer
   x = 78,643.58