Finding the Third Proportional to 27,408 and 59,160

Step by Step Solution

1. Step 1: Write the proportion equation
   27,408 : 59,160 = 59,160 : x
2. Step 2: Convert to fraction form
   27,408/59,160 = 59,160/x
3. Step 3: Cross multiply
   27,408x = 59,160 × 59,160
4. Step 4: Simplify right side
   27,408x = 3,499,905,600
5. Step 5: Solve for x
   x = 3,499,905,600/27,408
6. Step 6: Final answer
   x = 127,696.50