Finding the Third Proportional to 32,197 and 69,113

Step by Step Solution

1. Step 1: Write the proportion equation
   32,197 : 69,113 = 69,113 : x
2. Step 2: Convert to fraction form
   32,197/69,113 = 69,113/x
3. Step 3: Cross multiply
   32,197x = 69,113 × 69,113
4. Step 4: Simplify right side
   32,197x = 4,776,606,769
5. Step 5: Solve for x
   x = 4,776,606,769/32,197
6. Step 6: Final answer
   x = 148,355.65