Finding the Third Proportional to 53,746.13 and 75,171.75

Step by Step Solution

1. Step 1: Write the proportion equation
   53,746.13 : 75,171.75 = 75,171.75 : x
2. Step 2: Convert to fraction form
   53,746.13/75,171.75 = 75,171.75/x
3. Step 3: Cross multiply
   53,746.13x = 75,171.75 × 75,171.75
4. Step 4: Simplify right side
   53,746.13x = 5,650,791,998.06
5. Step 5: Solve for x
   x = 5,650,791,998.06/53,746.13
6. Step 6: Final answer
   x = 105,138.59