Finding the Third Proportional to 14,407.50 and 27,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,407.50 : 27,802.50 = 27,802.50 : x
2. Step 2: Convert to fraction form
   14,407.50/27,802.50 = 27,802.50/x
3. Step 3: Cross multiply
   14,407.50x = 27,802.50 × 27,802.50
4. Step 4: Simplify right side
   14,407.50x = 772,979,006.25
5. Step 5: Solve for x
   x = 772,979,006.25/14,407.50
6. Step 6: Final answer
   x = 53,651.15