Finding the Third Proportional to 27,410 and 58,564

Step by Step Solution

1. Step 1: Write the proportion equation
   27,410 : 58,564 = 58,564 : x
2. Step 2: Convert to fraction form
   27,410/58,564 = 58,564/x
3. Step 3: Cross multiply
   27,410x = 58,564 × 58,564
4. Step 4: Simplify right side
   27,410x = 3,429,742,096
5. Step 5: Solve for x
   x = 3,429,742,096/27,410
6. Step 6: Final answer
   x = 125,127.40