Finding the Third Proportional to 76,037.50 and 113,433.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,037.50 : 113,433.50 = 113,433.50 : x
2. Step 2: Convert to fraction form
   76,037.50/113,433.50 = 113,433.50/x
3. Step 3: Cross multiply
   76,037.50x = 113,433.50 × 113,433.50
4. Step 4: Simplify right side
   76,037.50x = 12,867,158,922.25
5. Step 5: Solve for x
   x = 12,867,158,922.25/76,037.50
6. Step 6: Final answer
   x = 169,221.23