Finding the Third Proportional to 26,883 and 37,606.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,883 : 37,606.50 = 37,606.50 : x
2. Step 2: Convert to fraction form
   26,883/37,606.50 = 37,606.50/x
3. Step 3: Cross multiply
   26,883x = 37,606.50 × 37,606.50
4. Step 4: Simplify right side
   26,883x = 1,414,248,842.25
5. Step 5: Solve for x
   x = 1,414,248,842.25/26,883
6. Step 6: Final answer
   x = 52,607.55