Finding the Third Proportional to 53,068.50 and 82,343.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,068.50 : 82,343.25 = 82,343.25 : x
2. Step 2: Convert to fraction form
   53,068.50/82,343.25 = 82,343.25/x
3. Step 3: Cross multiply
   53,068.50x = 82,343.25 × 82,343.25
4. Step 4: Simplify right side
   53,068.50x = 6,780,410,820.56
5. Step 5: Solve for x
   x = 6,780,410,820.56/53,068.50
6. Step 6: Final answer
   x = 127,767.15