Finding the Third Proportional to 31,003,164 and 72,414,316

Step by Step Solution

1. Step 1: Write the proportion equation
   31,003,164 : 72,414,316 = 72,414,316 : x
2. Step 2: Convert to fraction form
   31,003,164/72,414,316 = 72,414,316/x
3. Step 3: Cross multiply
   31,003,164x = 72,414,316 × 72,414,316
4. Step 4: Simplify right side
   31,003,164x = 5,243,833,161,747,856
5. Step 5: Solve for x
   x = 5,243,833,161,747,856/31,003,164
6. Step 6: Final answer
   x = 169,138,645.39