Finding the Third Proportional to 38,881.50 and 83,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,881.50 : 83,290.50 = 83,290.50 : x
2. Step 2: Convert to fraction form
   38,881.50/83,290.50 = 83,290.50/x
3. Step 3: Cross multiply
   38,881.50x = 83,290.50 × 83,290.50
4. Step 4: Simplify right side
   38,881.50x = 6,937,307,390.25
5. Step 5: Solve for x
   x = 6,937,307,390.25/38,881.50
6. Step 6: Final answer
   x = 178,421.80