Finding the Third Proportional to 31,765 and 42,347.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,765 : 42,347.50 = 42,347.50 : x
2. Step 2: Convert to fraction form
   31,765/42,347.50 = 42,347.50/x
3. Step 3: Cross multiply
   31,765x = 42,347.50 × 42,347.50
4. Step 4: Simplify right side
   31,765x = 1,793,310,756.25
5. Step 5: Solve for x
   x = 1,793,310,756.25/31,765
6. Step 6: Final answer
   x = 56,455.56