Finding the Third Proportional to 26,505.14 and 38,962.69

Step by Step Solution

1. Step 1: Write the proportion equation
   26,505.14 : 38,962.69 = 38,962.69 : x
2. Step 2: Convert to fraction form
   26,505.14/38,962.69 = 38,962.69/x
3. Step 3: Cross multiply
   26,505.14x = 38,962.69 × 38,962.69
4. Step 4: Simplify right side
   26,505.14x = 1,518,091,017.22
5. Step 5: Solve for x
   x = 1,518,091,017.22/26,505.14
6. Step 6: Final answer
   x = 57,275.34