Finding the Third Proportional to 14,592 and 22,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,592 : 22,534.50 = 22,534.50 : x
2. Step 2: Convert to fraction form
   14,592/22,534.50 = 22,534.50/x
3. Step 3: Cross multiply
   14,592x = 22,534.50 × 22,534.50
4. Step 4: Simplify right side
   14,592x = 507,803,690.25
5. Step 5: Solve for x
   x = 507,803,690.25/14,592
6. Step 6: Final answer
   x = 34,800.14