Finding the Third Proportional to 36,358 and 77,111

Step by Step Solution

1. Step 1: Write the proportion equation
   36,358 : 77,111 = 77,111 : x
2. Step 2: Convert to fraction form
   36,358/77,111 = 77,111/x
3. Step 3: Cross multiply
   36,358x = 77,111 × 77,111
4. Step 4: Simplify right side
   36,358x = 5,946,106,321
5. Step 5: Solve for x
   x = 5,946,106,321/36,358
6. Step 6: Final answer
   x = 163,543.27