Finding the Third Proportional to 47,970 and 75,901.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,970 : 75,901.50 = 75,901.50 : x
2. Step 2: Convert to fraction form
   47,970/75,901.50 = 75,901.50/x
3. Step 3: Cross multiply
   47,970x = 75,901.50 × 75,901.50
4. Step 4: Simplify right side
   47,970x = 5,761,037,702.25
5. Step 5: Solve for x
   x = 5,761,037,702.25/47,970
6. Step 6: Final answer
   x = 120,096.68