Finding the Third Proportional to 38,176 and 58,292.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,176 : 58,292.50 = 58,292.50 : x
2. Step 2: Convert to fraction form
   38,176/58,292.50 = 58,292.50/x
3. Step 3: Cross multiply
   38,176x = 58,292.50 × 58,292.50
4. Step 4: Simplify right side
   38,176x = 3,398,015,556.25
5. Step 5: Solve for x
   x = 3,398,015,556.25/38,176
6. Step 6: Final answer
   x = 89,009.21