Finding the Third Proportional to 35,931.25 and 75,586.29

Step by Step Solution

1. Step 1: Write the proportion equation
   35,931.25 : 75,586.29 = 75,586.29 : x
2. Step 2: Convert to fraction form
   35,931.25/75,586.29 = 75,586.29/x
3. Step 3: Cross multiply
   35,931.25x = 75,586.29 × 75,586.29
4. Step 4: Simplify right side
   35,931.25x = 5,713,287,094.24
5. Step 5: Solve for x
   x = 5,713,287,094.24/35,931.25
6. Step 6: Final answer
   x = 159,006.07