Finding the Third Proportional to 45,714 and 72,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,714 : 72,997.50 = 72,997.50 : x
2. Step 2: Convert to fraction form
   45,714/72,997.50 = 72,997.50/x
3. Step 3: Cross multiply
   45,714x = 72,997.50 × 72,997.50
4. Step 4: Simplify right side
   45,714x = 5,328,635,006.25
5. Step 5: Solve for x
   x = 5,328,635,006.25/45,714
6. Step 6: Final answer
   x = 116,564.62