Finding the Third Proportional to 32,140 and 49,432

Step by Step Solution

1. Step 1: Write the proportion equation
   32,140 : 49,432 = 49,432 : x
2. Step 2: Convert to fraction form
   32,140/49,432 = 49,432/x
3. Step 3: Cross multiply
   32,140x = 49,432 × 49,432
4. Step 4: Simplify right side
   32,140x = 2,443,522,624
5. Step 5: Solve for x
   x = 2,443,522,624/32,140
6. Step 6: Final answer
   x = 76,027.46