Finding the Third Proportional to 27,588 and 59,746

Step by Step Solution

1. Step 1: Write the proportion equation
   27,588 : 59,746 = 59,746 : x
2. Step 2: Convert to fraction form
   27,588/59,746 = 59,746/x
3. Step 3: Cross multiply
   27,588x = 59,746 × 59,746
4. Step 4: Simplify right side
   27,588x = 3,569,584,516
5. Step 5: Solve for x
   x = 3,569,584,516/27,588
6. Step 6: Final answer
   x = 129,389.03