Finding the Third Proportional to 30,624 and 64,926

Step by Step Solution

1. Step 1: Write the proportion equation
   30,624 : 64,926 = 64,926 : x
2. Step 2: Convert to fraction form
   30,624/64,926 = 64,926/x
3. Step 3: Cross multiply
   30,624x = 64,926 × 64,926
4. Step 4: Simplify right side
   30,624x = 4,215,385,476
5. Step 5: Solve for x
   x = 4,215,385,476/30,624
6. Step 6: Final answer
   x = 137,649.73