Finding the Third Proportional to 34,658,814 and 75,097,008

Step by Step Solution

1. Step 1: Write the proportion equation
   34,658,814 : 75,097,008 = 75,097,008 : x
2. Step 2: Convert to fraction form
   34,658,814/75,097,008 = 75,097,008/x
3. Step 3: Cross multiply
   34,658,814x = 75,097,008 × 75,097,008
4. Step 4: Simplify right side
   34,658,814x = 5,639,560,610,552,064
5. Step 5: Solve for x
   x = 5,639,560,610,552,064/34,658,814
6. Step 6: Final answer
   x = 162,716,491.41