Finding the Third Proportional to 23,421 and 31,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,421 : 31,666.50 = 31,666.50 : x
2. Step 2: Convert to fraction form
   23,421/31,666.50 = 31,666.50/x
3. Step 3: Cross multiply
   23,421x = 31,666.50 × 31,666.50
4. Step 4: Simplify right side
   23,421x = 1,002,767,222.25
5. Step 5: Solve for x
   x = 1,002,767,222.25/23,421
6. Step 6: Final answer
   x = 42,814.88