Finding the Third Proportional to 49,581.50 and 75,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,581.50 : 75,534.50 = 75,534.50 : x
2. Step 2: Convert to fraction form
   49,581.50/75,534.50 = 75,534.50/x
3. Step 3: Cross multiply
   49,581.50x = 75,534.50 × 75,534.50
4. Step 4: Simplify right side
   49,581.50x = 5,705,460,690.25
5. Step 5: Solve for x
   x = 5,705,460,690.25/49,581.50
6. Step 6: Final answer
   x = 115,072.37