Finding the Third Proportional to 26,295 and 37,795.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,295 : 37,795.50 = 37,795.50 : x
2. Step 2: Convert to fraction form
   26,295/37,795.50 = 37,795.50/x
3. Step 3: Cross multiply
   26,295x = 37,795.50 × 37,795.50
4. Step 4: Simplify right side
   26,295x = 1,428,499,820.25
5. Step 5: Solve for x
   x = 1,428,499,820.25/26,295
6. Step 6: Final answer
   x = 54,325.91