Finding the Third Proportional to 26,864 and 58,392.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,864 : 58,392.50 = 58,392.50 : x
2. Step 2: Convert to fraction form
   26,864/58,392.50 = 58,392.50/x
3. Step 3: Cross multiply
   26,864x = 58,392.50 × 58,392.50
4. Step 4: Simplify right side
   26,864x = 3,409,684,056.25
5. Step 5: Solve for x
   x = 3,409,684,056.25/26,864
6. Step 6: Final answer
   x = 126,923.92