Finding the Third Proportional to 14,830 and 23,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,830 : 23,095.50 = 23,095.50 : x
2. Step 2: Convert to fraction form
   14,830/23,095.50 = 23,095.50/x
3. Step 3: Cross multiply
   14,830x = 23,095.50 × 23,095.50
4. Step 4: Simplify right side
   14,830x = 533,402,120.25
5. Step 5: Solve for x
   x = 533,402,120.25/14,830
6. Step 6: Final answer
   x = 35,967.78