Finding the Third Proportional to 38,295 and 59,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,295 : 59,365.50 = 59,365.50 : x
2. Step 2: Convert to fraction form
   38,295/59,365.50 = 59,365.50/x
3. Step 3: Cross multiply
   38,295x = 59,365.50 × 59,365.50
4. Step 4: Simplify right side
   38,295x = 3,524,262,590.25
5. Step 5: Solve for x
   x = 3,524,262,590.25/38,295
6. Step 6: Final answer
   x = 92,029.31