Finding the Third Proportional to 24,465 and 34,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,465 : 34,041.50 = 34,041.50 : x
2. Step 2: Convert to fraction form
   24,465/34,041.50 = 34,041.50/x
3. Step 3: Cross multiply
   24,465x = 34,041.50 × 34,041.50
4. Step 4: Simplify right side
   24,465x = 1,158,823,722.25
5. Step 5: Solve for x
   x = 1,158,823,722.25/24,465
6. Step 6: Final answer
   x = 47,366.59