Finding the Third Proportional to 23,677 and 35,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,677 : 35,947.50 = 35,947.50 : x
2. Step 2: Convert to fraction form
   23,677/35,947.50 = 35,947.50/x
3. Step 3: Cross multiply
   23,677x = 35,947.50 × 35,947.50
4. Step 4: Simplify right side
   23,677x = 1,292,222,756.25
5. Step 5: Solve for x
   x = 1,292,222,756.25/23,677
6. Step 6: Final answer
   x = 54,577.13