Finding the Third Proportional to 26,316 and 35,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,316 : 35,725.50 = 35,725.50 : x
2. Step 2: Convert to fraction form
   26,316/35,725.50 = 35,725.50/x
3. Step 3: Cross multiply
   26,316x = 35,725.50 × 35,725.50
4. Step 4: Simplify right side
   26,316x = 1,276,311,350.25
5. Step 5: Solve for x
   x = 1,276,311,350.25/26,316
6. Step 6: Final answer
   x = 48,499.44