Finding the Third Proportional to 49,844 and 74,045.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,844 : 74,045.50 = 74,045.50 : x
2. Step 2: Convert to fraction form
   49,844/74,045.50 = 74,045.50/x
3. Step 3: Cross multiply
   49,844x = 74,045.50 × 74,045.50
4. Step 4: Simplify right side
   49,844x = 5,482,736,070.25
5. Step 5: Solve for x
   x = 5,482,736,070.25/49,844
6. Step 6: Final answer
   x = 109,997.91