Finding the Third Proportional to 23,730 and 48,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,730 : 48,142.50 = 48,142.50 : x
2. Step 2: Convert to fraction form
   23,730/48,142.50 = 48,142.50/x
3. Step 3: Cross multiply
   23,730x = 48,142.50 × 48,142.50
4. Step 4: Simplify right side
   23,730x = 2,317,700,306.25
5. Step 5: Solve for x
   x = 2,317,700,306.25/23,730
6. Step 6: Final answer
   x = 97,669.63