Finding the Third Proportional to 34,116 and 52,630

Step by Step Solution

1. Step 1: Write the proportion equation
   34,116 : 52,630 = 52,630 : x
2. Step 2: Convert to fraction form
   34,116/52,630 = 52,630/x
3. Step 3: Cross multiply
   34,116x = 52,630 × 52,630
4. Step 4: Simplify right side
   34,116x = 2,769,916,900
5. Step 5: Solve for x
   x = 2,769,916,900/34,116
6. Step 6: Final answer
   x = 81,191.14