Finding the Third Proportional to 49,827 and 74,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,827 : 74,029.50 = 74,029.50 : x
2. Step 2: Convert to fraction form
   49,827/74,029.50 = 74,029.50/x
3. Step 3: Cross multiply
   49,827x = 74,029.50 × 74,029.50
4. Step 4: Simplify right side
   49,827x = 5,480,366,870.25
5. Step 5: Solve for x
   x = 5,480,366,870.25/49,827
6. Step 6: Final answer
   x = 109,987.90