Finding the Third Proportional to 47,796.75 and 97,666.31

Step by Step Solution

1. Step 1: Write the proportion equation
   47,796.75 : 97,666.31 = 97,666.31 : x
2. Step 2: Convert to fraction form
   47,796.75/97,666.31 = 97,666.31/x
3. Step 3: Cross multiply
   47,796.75x = 97,666.31 × 97,666.31
4. Step 4: Simplify right side
   47,796.75x = 9,538,708,597.35
5. Step 5: Solve for x
   x = 9,538,708,597.35/47,796.75
6. Step 6: Final answer
   x = 199,568.14