Finding the Third Proportional to 29,716 and 64,076

Step by Step Solution

1. Step 1: Write the proportion equation
   29,716 : 64,076 = 64,076 : x
2. Step 2: Convert to fraction form
   29,716/64,076 = 64,076/x
3. Step 3: Cross multiply
   29,716x = 64,076 × 64,076
4. Step 4: Simplify right side
   29,716x = 4,105,733,776
5. Step 5: Solve for x
   x = 4,105,733,776/29,716
6. Step 6: Final answer
   x = 138,165.76