Finding the Third Proportional to 38,782.50 and 83,754

Step by Step Solution

1. Step 1: Write the proportion equation
   38,782.50 : 83,754 = 83,754 : x
2. Step 2: Convert to fraction form
   38,782.50/83,754 = 83,754/x
3. Step 3: Cross multiply
   38,782.50x = 83,754 × 83,754
4. Step 4: Simplify right side
   38,782.50x = 7,014,732,516
5. Step 5: Solve for x
   x = 7,014,732,516/38,782.50
6. Step 6: Final answer
   x = 180,873.65