Finding the Third Proportional to 35,931.09 and 75,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,931.09 : 75,586.50 = 75,586.50 : x
2. Step 2: Convert to fraction form
   35,931.09/75,586.50 = 75,586.50/x
3. Step 3: Cross multiply
   35,931.09x = 75,586.50 × 75,586.50
4. Step 4: Simplify right side
   35,931.09x = 5,713,318,982.25
5. Step 5: Solve for x
   x = 5,713,318,982.25/35,931.09
6. Step 6: Final answer
   x = 159,007.66