Finding the Third Proportional to 21,457 and 31,075.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,457 : 31,075.50 = 31,075.50 : x
2. Step 2: Convert to fraction form
   21,457/31,075.50 = 31,075.50/x
3. Step 3: Cross multiply
   21,457x = 31,075.50 × 31,075.50
4. Step 4: Simplify right side
   21,457x = 965,686,700.25
5. Step 5: Solve for x
   x = 965,686,700.25/21,457
6. Step 6: Final answer
   x = 45,005.67