Finding the Third Proportional to 32,105 and 77,343.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,105 : 77,343.50 = 77,343.50 : x
2. Step 2: Convert to fraction form
   32,105/77,343.50 = 77,343.50/x
3. Step 3: Cross multiply
   32,105x = 77,343.50 × 77,343.50
4. Step 4: Simplify right side
   32,105x = 5,982,016,992.25
5. Step 5: Solve for x
   x = 5,982,016,992.25/32,105
6. Step 6: Final answer
   x = 186,326.65