Finding the Third Proportional to 27,362 and 58,468

Step by Step Solution

1. Step 1: Write the proportion equation
   27,362 : 58,468 = 58,468 : x
2. Step 2: Convert to fraction form
   27,362/58,468 = 58,468/x
3. Step 3: Cross multiply
   27,362x = 58,468 × 58,468
4. Step 4: Simplify right side
   27,362x = 3,418,507,024
5. Step 5: Solve for x
   x = 3,418,507,024/27,362
6. Step 6: Final answer
   x = 124,936.30