Finding the Third Proportional to 13,599 and 32,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,599 : 32,539.50 = 32,539.50 : x
2. Step 2: Convert to fraction form
   13,599/32,539.50 = 32,539.50/x
3. Step 3: Cross multiply
   13,599x = 32,539.50 × 32,539.50
4. Step 4: Simplify right side
   13,599x = 1,058,819,060.25
5. Step 5: Solve for x
   x = 1,058,819,060.25/13,599
6. Step 6: Final answer
   x = 77,860.07