Finding the Third Proportional to 49,538.25 and 74,317.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,538.25 : 74,317.50 = 74,317.50 : x
2. Step 2: Convert to fraction form
   49,538.25/74,317.50 = 74,317.50/x
3. Step 3: Cross multiply
   49,538.25x = 74,317.50 × 74,317.50
4. Step 4: Simplify right side
   49,538.25x = 5,523,090,806.25
5. Step 5: Solve for x
   x = 5,523,090,806.25/49,538.25
6. Step 6: Final answer
   x = 111,491.44