Finding the Third Proportional to 39,834 and 58,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,834 : 58,837.50 = 58,837.50 : x
2. Step 2: Convert to fraction form
   39,834/58,837.50 = 58,837.50/x
3. Step 3: Cross multiply
   39,834x = 58,837.50 × 58,837.50
4. Step 4: Simplify right side
   39,834x = 3,461,851,406.25
5. Step 5: Solve for x
   x = 3,461,851,406.25/39,834
6. Step 6: Final answer
   x = 86,906.95