Finding the Third Proportional to 35,004 and 52,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,004 : 52,492.50 = 52,492.50 : x
2. Step 2: Convert to fraction form
   35,004/52,492.50 = 52,492.50/x
3. Step 3: Cross multiply
   35,004x = 52,492.50 × 52,492.50
4. Step 4: Simplify right side
   35,004x = 2,755,462,556.25
5. Step 5: Solve for x
   x = 2,755,462,556.25/35,004
6. Step 6: Final answer
   x = 78,718.51