Finding the Third Proportional to 23,076 and 31,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,076 : 31,756.50 = 31,756.50 : x
2. Step 2: Convert to fraction form
   23,076/31,756.50 = 31,756.50/x
3. Step 3: Cross multiply
   23,076x = 31,756.50 × 31,756.50
4. Step 4: Simplify right side
   23,076x = 1,008,475,292.25
5. Step 5: Solve for x
   x = 1,008,475,292.25/23,076
6. Step 6: Final answer
   x = 43,702.34