Finding the Third Proportional to 35,938 and 78,092.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,938 : 78,092.50 = 78,092.50 : x
2. Step 2: Convert to fraction form
   35,938/78,092.50 = 78,092.50/x
3. Step 3: Cross multiply
   35,938x = 78,092.50 × 78,092.50
4. Step 4: Simplify right side
   35,938x = 6,098,438,556.25
5. Step 5: Solve for x
   x = 6,098,438,556.25/35,938
6. Step 6: Final answer
   x = 169,693.32