Finding the Third Proportional to 49,069.50 and 77,826

Step by Step Solution

1. Step 1: Write the proportion equation
   49,069.50 : 77,826 = 77,826 : x
2. Step 2: Convert to fraction form
   49,069.50/77,826 = 77,826/x
3. Step 3: Cross multiply
   49,069.50x = 77,826 × 77,826
4. Step 4: Simplify right side
   49,069.50x = 6,056,886,276
5. Step 5: Solve for x
   x = 6,056,886,276/49,069.50
6. Step 6: Final answer
   x = 123,434.85