Finding the Third Proportional to 38,838 and 56,980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,838 : 56,980.50 = 56,980.50 : x
2. Step 2: Convert to fraction form
   38,838/56,980.50 = 56,980.50/x
3. Step 3: Cross multiply
   38,838x = 56,980.50 × 56,980.50
4. Step 4: Simplify right side
   38,838x = 3,246,777,380.25
5. Step 5: Solve for x
   x = 3,246,777,380.25/38,838
6. Step 6: Final answer
   x = 83,597.96