Finding the Third Proportional to 32,100.21 and 77,674.81

Step by Step Solution

1. Step 1: Write the proportion equation
   32,100.21 : 77,674.81 = 77,674.81 : x
2. Step 2: Convert to fraction form
   32,100.21/77,674.81 = 77,674.81/x
3. Step 3: Cross multiply
   32,100.21x = 77,674.81 × 77,674.81
4. Step 4: Simplify right side
   32,100.21x = 6,033,375,738.37
5. Step 5: Solve for x
   x = 6,033,375,738.37/32,100.21
6. Step 6: Final answer
   x = 187,954.43