Finding the Third Proportional to 34,647 and 55,798.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,647 : 55,798.50 = 55,798.50 : x
2. Step 2: Convert to fraction form
   34,647/55,798.50 = 55,798.50/x
3. Step 3: Cross multiply
   34,647x = 55,798.50 × 55,798.50
4. Step 4: Simplify right side
   34,647x = 3,113,472,602.25
5. Step 5: Solve for x
   x = 3,113,472,602.25/34,647
6. Step 6: Final answer
   x = 89,862.69