Finding the Third Proportional to 27,408 and 58,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,408 : 58,972.50 = 58,972.50 : x
2. Step 2: Convert to fraction form
   27,408/58,972.50 = 58,972.50/x
3. Step 3: Cross multiply
   27,408x = 58,972.50 × 58,972.50
4. Step 4: Simplify right side
   27,408x = 3,477,755,756.25
5. Step 5: Solve for x
   x = 3,477,755,756.25/27,408
6. Step 6: Final answer
   x = 126,888.34