Finding the Third Proportional to 37,188 and 77,460

Step by Step Solution

1. Step 1: Write the proportion equation
   37,188 : 77,460 = 77,460 : x
2. Step 2: Convert to fraction form
   37,188/77,460 = 77,460/x
3. Step 3: Cross multiply
   37,188x = 77,460 × 77,460
4. Step 4: Simplify right side
   37,188x = 6,000,051,600
5. Step 5: Solve for x
   x = 6,000,051,600/37,188
6. Step 6: Final answer
   x = 161,343.76