Finding the Third Proportional to 27,819 and 59,688

Step by Step Solution

1. Step 1: Write the proportion equation
   27,819 : 59,688 = 59,688 : x
2. Step 2: Convert to fraction form
   27,819/59,688 = 59,688/x
3. Step 3: Cross multiply
   27,819x = 59,688 × 59,688
4. Step 4: Simplify right side
   27,819x = 3,562,657,344
5. Step 5: Solve for x
   x = 3,562,657,344/27,819
6. Step 6: Final answer
   x = 128,065.62