Finding the Third Proportional to 42,421.50 and 83,771.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,421.50 : 83,771.75 = 83,771.75 : x
2. Step 2: Convert to fraction form
   42,421.50/83,771.75 = 83,771.75/x
3. Step 3: Cross multiply
   42,421.50x = 83,771.75 × 83,771.75
4. Step 4: Simplify right side
   42,421.50x = 7,017,706,098.06
5. Step 5: Solve for x
   x = 7,017,706,098.06/42,421.50
6. Step 6: Final answer
   x = 165,428.05