Finding the Third Proportional to 4,974 and 10,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,974 : 10,897.50 = 10,897.50 : x
2. Step 2: Convert to fraction form
   4,974/10,897.50 = 10,897.50/x
3. Step 3: Cross multiply
   4,974x = 10,897.50 × 10,897.50
4. Step 4: Simplify right side
   4,974x = 118,755,506.25
5. Step 5: Solve for x
   x = 118,755,506.25/4,974
6. Step 6: Final answer
   x = 23,875.25