Finding the Third Proportional to 31,425,680 and 67,654,172

Step by Step Solution

1. Step 1: Write the proportion equation
   31,425,680 : 67,654,172 = 67,654,172 : x
2. Step 2: Convert to fraction form
   31,425,680/67,654,172 = 67,654,172/x
3. Step 3: Cross multiply
   31,425,680x = 67,654,172 × 67,654,172
4. Step 4: Simplify right side
   31,425,680x = 4,577,086,989,005,584
5. Step 5: Solve for x
   x = 4,577,086,989,005,584/31,425,680
6. Step 6: Final answer
   x = 145,647,985.63