Finding the Third Proportional to 32,346 and 45,657

Step by Step Solution

1. Step 1: Write the proportion equation
   32,346 : 45,657 = 45,657 : x
2. Step 2: Convert to fraction form
   32,346/45,657 = 45,657/x
3. Step 3: Cross multiply
   32,346x = 45,657 × 45,657
4. Step 4: Simplify right side
   32,346x = 2,084,561,649
5. Step 5: Solve for x
   x = 2,084,561,649/32,346
6. Step 6: Final answer
   x = 64,445.73