Finding the Third Proportional to 38,905.50 and 56,978.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,905.50 : 56,978.25 = 56,978.25 : x
2. Step 2: Convert to fraction form
   38,905.50/56,978.25 = 56,978.25/x
3. Step 3: Cross multiply
   38,905.50x = 56,978.25 × 56,978.25
4. Step 4: Simplify right side
   38,905.50x = 3,246,520,973.06
5. Step 5: Solve for x
   x = 3,246,520,973.06/38,905.50
6. Step 6: Final answer
   x = 83,446.32