Finding the Third Proportional to 26,133 and 57,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,133 : 57,468.50 = 57,468.50 : x
2. Step 2: Convert to fraction form
   26,133/57,468.50 = 57,468.50/x
3. Step 3: Cross multiply
   26,133x = 57,468.50 × 57,468.50
4. Step 4: Simplify right side
   26,133x = 3,302,628,492.25
5. Step 5: Solve for x
   x = 3,302,628,492.25/26,133
6. Step 6: Final answer
   x = 126,377.70