Finding the Third Proportional to 24,310 and 39,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,310 : 39,695.50 = 39,695.50 : x
2. Step 2: Convert to fraction form
   24,310/39,695.50 = 39,695.50/x
3. Step 3: Cross multiply
   24,310x = 39,695.50 × 39,695.50
4. Step 4: Simplify right side
   24,310x = 1,575,732,720.25
5. Step 5: Solve for x
   x = 1,575,732,720.25/24,310
6. Step 6: Final answer
   x = 64,818.29