Finding the Third Proportional to 42,385 and 64,124

Step by Step Solution

1. Step 1: Write the proportion equation
   42,385 : 64,124 = 64,124 : x
2. Step 2: Convert to fraction form
   42,385/64,124 = 64,124/x
3. Step 3: Cross multiply
   42,385x = 64,124 × 64,124
4. Step 4: Simplify right side
   42,385x = 4,111,887,376
5. Step 5: Solve for x
   x = 4,111,887,376/42,385
6. Step 6: Final answer
   x = 97,012.80