Finding the Third Proportional to 34,253.25 and 53,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,253.25 : 53,746.50 = 53,746.50 : x
2. Step 2: Convert to fraction form
   34,253.25/53,746.50 = 53,746.50/x
3. Step 3: Cross multiply
   34,253.25x = 53,746.50 × 53,746.50
4. Step 4: Simplify right side
   34,253.25x = 2,888,686,262.25
5. Step 5: Solve for x
   x = 2,888,686,262.25/34,253.25
6. Step 6: Final answer
   x = 84,333.20