Finding the Third Proportional to 35,302.50 and 77,601.56

Step by Step Solution

1. Step 1: Write the proportion equation
   35,302.50 : 77,601.56 = 77,601.56 : x
2. Step 2: Convert to fraction form
   35,302.50/77,601.56 = 77,601.56/x
3. Step 3: Cross multiply
   35,302.50x = 77,601.56 × 77,601.56
4. Step 4: Simplify right side
   35,302.50x = 6,022,002,502.44
5. Step 5: Solve for x
   x = 6,022,002,502.44/35,302.50
6. Step 6: Final answer
   x = 170,582.89