Finding the Third Proportional to 32,123 and 45,658

Step by Step Solution

1. Step 1: Write the proportion equation
   32,123 : 45,658 = 45,658 : x
2. Step 2: Convert to fraction form
   32,123/45,658 = 45,658/x
3. Step 3: Cross multiply
   32,123x = 45,658 × 45,658
4. Step 4: Simplify right side
   32,123x = 2,084,652,964
5. Step 5: Solve for x
   x = 2,084,652,964/32,123
6. Step 6: Final answer
   x = 64,895.96