Finding the Third Proportional to 28,820 and 42,127

Step by Step Solution

1. Step 1: Write the proportion equation
   28,820 : 42,127 = 42,127 : x
2. Step 2: Convert to fraction form
   28,820/42,127 = 42,127/x
3. Step 3: Cross multiply
   28,820x = 42,127 × 42,127
4. Step 4: Simplify right side
   28,820x = 1,774,684,129
5. Step 5: Solve for x
   x = 1,774,684,129/28,820
6. Step 6: Final answer
   x = 61,578.21