Finding the Third Proportional to 27,280 and 42,124

Step by Step Solution

1. Step 1: Write the proportion equation
   27,280 : 42,124 = 42,124 : x
2. Step 2: Convert to fraction form
   27,280/42,124 = 42,124/x
3. Step 3: Cross multiply
   27,280x = 42,124 × 42,124
4. Step 4: Simplify right side
   27,280x = 1,774,431,376
5. Step 5: Solve for x
   x = 1,774,431,376/27,280
6. Step 6: Final answer
   x = 65,045.14