Finding the Third Proportional to 42,032 and 64,146

Step by Step Solution

1. Step 1: Write the proportion equation
   42,032 : 64,146 = 64,146 : x
2. Step 2: Convert to fraction form
   42,032/64,146 = 64,146/x
3. Step 3: Cross multiply
   42,032x = 64,146 × 64,146
4. Step 4: Simplify right side
   42,032x = 4,114,709,316
5. Step 5: Solve for x
   x = 4,114,709,316/42,032
6. Step 6: Final answer
   x = 97,894.68