Finding the Third Proportional to 27,034 and 58,632

Step by Step Solution

1. Step 1: Write the proportion equation
   27,034 : 58,632 = 58,632 : x
2. Step 2: Convert to fraction form
   27,034/58,632 = 58,632/x
3. Step 3: Cross multiply
   27,034x = 58,632 × 58,632
4. Step 4: Simplify right side
   27,034x = 3,437,711,424
5. Step 5: Solve for x
   x = 3,437,711,424/27,034
6. Step 6: Final answer
   x = 127,162.51