Finding the Third Proportional to 35,059 and 76,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,059 : 76,032.50 = 76,032.50 : x
2. Step 2: Convert to fraction form
   35,059/76,032.50 = 76,032.50/x
3. Step 3: Cross multiply
   35,059x = 76,032.50 × 76,032.50
4. Step 4: Simplify right side
   35,059x = 5,780,941,056.25
5. Step 5: Solve for x
   x = 5,780,941,056.25/35,059
6. Step 6: Final answer
   x = 164,891.78