Finding the Third Proportional to 34,111 and 52,624

Step by Step Solution

1. Step 1: Write the proportion equation
   34,111 : 52,624 = 52,624 : x
2. Step 2: Convert to fraction form
   34,111/52,624 = 52,624/x
3. Step 3: Cross multiply
   34,111x = 52,624 × 52,624
4. Step 4: Simplify right side
   34,111x = 2,769,285,376
5. Step 5: Solve for x
   x = 2,769,285,376/34,111
6. Step 6: Final answer
   x = 81,184.53