Finding the Third Proportional to 35,551 and 82,301.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,551 : 82,301.50 = 82,301.50 : x
2. Step 2: Convert to fraction form
   35,551/82,301.50 = 82,301.50/x
3. Step 3: Cross multiply
   35,551x = 82,301.50 × 82,301.50
4. Step 4: Simplify right side
   35,551x = 6,773,536,902.25
5. Step 5: Solve for x
   x = 6,773,536,902.25/35,551
6. Step 6: Final answer
   x = 190,530.14