Finding the Third Proportional to 37,461 and 52,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,461 : 52,695.50 = 52,695.50 : x
2. Step 2: Convert to fraction form
   37,461/52,695.50 = 52,695.50/x
3. Step 3: Cross multiply
   37,461x = 52,695.50 × 52,695.50
4. Step 4: Simplify right side
   37,461x = 2,776,815,720.25
5. Step 5: Solve for x
   x = 2,776,815,720.25/37,461
6. Step 6: Final answer
   x = 74,125.51