Finding the Third Proportional to 31,924 and 65,432

Step by Step Solution

1. Step 1: Write the proportion equation
   31,924 : 65,432 = 65,432 : x
2. Step 2: Convert to fraction form
   31,924/65,432 = 65,432/x
3. Step 3: Cross multiply
   31,924x = 65,432 × 65,432
4. Step 4: Simplify right side
   31,924x = 4,281,346,624
5. Step 5: Solve for x
   x = 4,281,346,624/31,924
6. Step 6: Final answer
   x = 134,110.59