Finding the Third Proportional to 27,632 and 58,549

Step by Step Solution

1. Step 1: Write the proportion equation
   27,632 : 58,549 = 58,549 : x
2. Step 2: Convert to fraction form
   27,632/58,549 = 58,549/x
3. Step 3: Cross multiply
   27,632x = 58,549 × 58,549
4. Step 4: Simplify right side
   27,632x = 3,427,985,401
5. Step 5: Solve for x
   x = 3,427,985,401/27,632
6. Step 6: Final answer
   x = 124,058.53