Finding the Third Proportional to 38,137 and 56,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,137 : 56,426.50 = 56,426.50 : x
2. Step 2: Convert to fraction form
   38,137/56,426.50 = 56,426.50/x
3. Step 3: Cross multiply
   38,137x = 56,426.50 × 56,426.50
4. Step 4: Simplify right side
   38,137x = 3,183,949,902.25
5. Step 5: Solve for x
   x = 3,183,949,902.25/38,137
6. Step 6: Final answer
   x = 83,487.16