Finding the Third Proportional to 37,460 and 56,342

Step by Step Solution

1. Step 1: Write the proportion equation
   37,460 : 56,342 = 56,342 : x
2. Step 2: Convert to fraction form
   37,460/56,342 = 56,342/x
3. Step 3: Cross multiply
   37,460x = 56,342 × 56,342
4. Step 4: Simplify right side
   37,460x = 3,174,420,964
5. Step 5: Solve for x
   x = 3,174,420,964/37,460
6. Step 6: Final answer
   x = 84,741.62