Finding the Third Proportional to 34,546.50 and 53,346.75

Step by Step Solution

1. Step 1: Write the proportion equation
   34,546.50 : 53,346.75 = 53,346.75 : x
2. Step 2: Convert to fraction form
   34,546.50/53,346.75 = 53,346.75/x
3. Step 3: Cross multiply
   34,546.50x = 53,346.75 × 53,346.75
4. Step 4: Simplify right side
   34,546.50x = 2,845,875,735.56
5. Step 5: Solve for x
   x = 2,845,875,735.56/34,546.50
6. Step 6: Final answer
   x = 82,378.12