Finding the Third Proportional to 34,037 and 74,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,037 : 74,793.50 = 74,793.50 : x
2. Step 2: Convert to fraction form
   34,037/74,793.50 = 74,793.50/x
3. Step 3: Cross multiply
   34,037x = 74,793.50 × 74,793.50
4. Step 4: Simplify right side
   34,037x = 5,594,067,642.25
5. Step 5: Solve for x
   x = 5,594,067,642.25/34,037
6. Step 6: Final answer
   x = 164,352.55