Finding the Third Proportional to 27,888 and 59,820

Step by Step Solution

1. Step 1: Write the proportion equation
   27,888 : 59,820 = 59,820 : x
2. Step 2: Convert to fraction form
   27,888/59,820 = 59,820/x
3. Step 3: Cross multiply
   27,888x = 59,820 × 59,820
4. Step 4: Simplify right side
   27,888x = 3,578,432,400
5. Step 5: Solve for x
   x = 3,578,432,400/27,888
6. Step 6: Final answer
   x = 128,314.41