Finding the Third Proportional to 27,624 and 59,118

Step by Step Solution

1. Step 1: Write the proportion equation
   27,624 : 59,118 = 59,118 : x
2. Step 2: Convert to fraction form
   27,624/59,118 = 59,118/x
3. Step 3: Cross multiply
   27,624x = 59,118 × 59,118
4. Step 4: Simplify right side
   27,624x = 3,494,937,924
5. Step 5: Solve for x
   x = 3,494,937,924/27,624
6. Step 6: Final answer
   x = 126,518.17