Finding the Third Proportional to 27,632 and 42,547

Step by Step Solution

1. Step 1: Write the proportion equation
   27,632 : 42,547 = 42,547 : x
2. Step 2: Convert to fraction form
   27,632/42,547 = 42,547/x
3. Step 3: Cross multiply
   27,632x = 42,547 × 42,547
4. Step 4: Simplify right side
   27,632x = 1,810,247,209
5. Step 5: Solve for x
   x = 1,810,247,209/27,632
6. Step 6: Final answer
   x = 65,512.71