Finding the Third Proportional to 22,977 and 31,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,977 : 31,927.50 = 31,927.50 : x
2. Step 2: Convert to fraction form
   22,977/31,927.50 = 31,927.50/x
3. Step 3: Cross multiply
   22,977x = 31,927.50 × 31,927.50
4. Step 4: Simplify right side
   22,977x = 1,019,365,256.25
5. Step 5: Solve for x
   x = 1,019,365,256.25/22,977
6. Step 6: Final answer
   x = 44,364.59