Finding the Third Proportional to 13,001.63 and 18,592.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,001.63 : 18,592.50 = 18,592.50 : x
2. Step 2: Convert to fraction form
   13,001.63/18,592.50 = 18,592.50/x
3. Step 3: Cross multiply
   13,001.63x = 18,592.50 × 18,592.50
4. Step 4: Simplify right side
   13,001.63x = 345,681,056.25
5. Step 5: Solve for x
   x = 345,681,056.25/13,001.63
6. Step 6: Final answer
   x = 26,587.53