Finding the Third Proportional to 14,599 and 33,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,599 : 33,095.50 = 33,095.50 : x
2. Step 2: Convert to fraction form
   14,599/33,095.50 = 33,095.50/x
3. Step 3: Cross multiply
   14,599x = 33,095.50 × 33,095.50
4. Step 4: Simplify right side
   14,599x = 1,095,312,120.25
5. Step 5: Solve for x
   x = 1,095,312,120.25/14,599
6. Step 6: Final answer
   x = 75,026.52