Finding the Third Proportional to 38,367.75 and 83,851.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,367.75 : 83,851.50 = 83,851.50 : x
2. Step 2: Convert to fraction form
   38,367.75/83,851.50 = 83,851.50/x
3. Step 3: Cross multiply
   38,367.75x = 83,851.50 × 83,851.50
4. Step 4: Simplify right side
   38,367.75x = 7,031,074,052.25
5. Step 5: Solve for x
   x = 7,031,074,052.25/38,367.75
6. Step 6: Final answer
   x = 183,254.79