Finding the Third Proportional to 12,123 and 29,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,123 : 29,902.50 = 29,902.50 : x
2. Step 2: Convert to fraction form
   12,123/29,902.50 = 29,902.50/x
3. Step 3: Cross multiply
   12,123x = 29,902.50 × 29,902.50
4. Step 4: Simplify right side
   12,123x = 894,159,506.25
5. Step 5: Solve for x
   x = 894,159,506.25/12,123
6. Step 6: Final answer
   x = 73,757.28