Finding the Third Proportional to 35,814 and 75,898.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,814 : 75,898.50 = 75,898.50 : x
2. Step 2: Convert to fraction form
   35,814/75,898.50 = 75,898.50/x
3. Step 3: Cross multiply
   35,814x = 75,898.50 × 75,898.50
4. Step 4: Simplify right side
   35,814x = 5,760,582,302.25
5. Step 5: Solve for x
   x = 5,760,582,302.25/35,814
6. Step 6: Final answer
   x = 160,847.22